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CHODA Marie  長田 まりゑ

ORCIDConnect your ORCID iD *help
… Alternative Names

長田 まりゑ  チョウダ マリエ

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Researcher Number 80030378
Other IDs
External Links
Affiliation (based on the past Project Information) *help 2006 – 2010: 大阪教育大学, 名誉教授
1992 – 2005: 大阪教育大学, 教育学部, 教授
1987 – 1990: 大阪教育大学, 教育学部, 教授
1986: 阪教育大, 教育学部, 教授
Review Section/Research Field
Principal Investigator
解析学 / Global analysis / Global analysis
Except Principal Investigator
解析学 / 代数学・幾何学 / Basic analysis
Keywords
Principal Investigator
作用素環 / 接合積 / 非可換力学系 / エントロピー / 自己同型写像 / State / Entropy / Non-commutative dynamical system / Automorphism / 自由積 … More / エルゴード変換 / 指数 / Crossed product / 状態 / Operator Algebars / 群の作用 / Free product / Operator algebras / 群 / 共役類 / 状態(state) / 自己準同型写像 / 因子環 / Maximal abelian subalgebra / Relative Entropy / Amenable / free product / Group / C^*-algebra / CィイD1*ィエD1-algebra / 状態(stale) / 制限自由積 / C^V-環 / C^*-環 / 【(II)_1】-型因子環 / エルゴート変換 / 相対エントロピー / 非可換エントロピー / 指数(index) / エントロピー(entropy) / 自己準同型写像(endomorphism) / C^*-環(C^*-algebra) / entropy(エントロピー) / simple(単純) / subfactor(分子因子環) / conjugate(共役) / endomorphism(自己準同型写像) / AFD因子環 / 同型写像 / 環 / 単純環 / 双対性 / エントロピイ / ブラッテリィ・ダイアグラム / 二部グラフ / エンドモルフィズム / 部分因子環の指数 / II_1型因子環 / ダイアグラム / エントロピ- … More
Except Principal Investigator
Morrey space / Campanato space / pointwise multiplier / bounded mean oscillation / Orlicz space / Riesz potential / fractional integral / space of homogeneous type / 指数 / 作用素環 / シフト / 共役類 / C^*-環 / 因子 / 条件付期待値 / C-space / closed image / paracompact space / metric space / Holder space / space of homogeneaus type / multiplier / BMO / 自己準同型写像 / 因子環 / 接合積 / ガロア理論 / アソシエイションスキム / グラフ / デザイン / 群論 / 代数的組合せ論 Less
  • Research Projects

    (18 results)
  • Research Products

    (51 results)
  • Co-Researchers

    (23 People)
  •  Relative entropy for pairs of subalgebras and invariants arising from automorphismsPrincipal Investigator

    • Principal Investigator
      CHODA Marie
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Osaka Kyoiku University
  •  Entropy in noncommutative dynamical systems, structure of operator algebras and groups with amenable actionsPrincipal Investigator

    • Principal Investigator
      CHODA Marie
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Osaka Kyoiku University
  •  Entropy on non-commutative dynamical systems and the structure of operator algebrasPrincipal Investigator

    • Principal Investigator
      CHODA Marie
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Osaka Kyoiku University
  •  Entropy in the non-commutalrive dynamical systems and the structure of algebrasPrincipal Investigator

    • Principal Investigator
      CHODA Marie
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Osaka Kyoiku University
  •  Theory and applications of BMO and related function spaces on spaces of homogeneous type

    • Principal Investigator
      NAKAI Eiichi
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka Kyoiku University
  •  Entropy for automorphisms of operator algebrasPrincipal Investigator

    • Principal Investigator
      CHODA Marie
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka Kyoiku University
  •  制限自由積環上の状態と自由シフトPrincipal Investigator

    • Principal Investigator
      長田 まりゑ
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Osaka Kyoiku University
  •  homogeneous型空間上の重み付きBMO

    • Principal Investigator
      中井 英一
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka Kyoiku University
  •  クンツ型自己準同型写像Principal Investigator

    • Principal Investigator
      長田 まりゑ
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka Kyoiku University
  •  指数理論と通じての環の構成Principal Investigator

    • Principal Investigator
      長田 まりゑ
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Osaka Kyoiku University
  •  自己準同型写像による拡大環Principal Investigator

    • Principal Investigator
      長田 まりゑ
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka Kyoiku University
  •  作用素環の構造と指数理論

    • Principal Investigator
      長田 尚
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka Kyoiku University
  •  グラフとII_1型因子環Principal Investigator

    • Principal Investigator
      長田 まりゑ
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Osaka Kyoiku University
  •  作用素環の不変量Principal Investigator

    • Principal Investigator
      長田 まりゑ
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka Kyoiku University
  •  代数的組合せ論とそれに関連する諸問題

    • Principal Investigator
      大山 豪
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka Kyoiku University
  •  距離空間の一般化と、その関連する諸分野について

    • Principal Investigator
      長田 潤一
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka Kyoiku University
  •  作用素環の期待値と指数について

    • Principal Investigator
      長田 尚
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka Kyoiku University
  •  作用素環の分類と指数理論Principal Investigator

    • Principal Investigator
      長田 まりゑ
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka Kyoiku University

All 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 Other

All Journal Article Presentation

  • [Journal Article] 直交する場合、そして、その場合にのみ、最大になる値2011

    • Author(s)
      長田まりゑ
    • Journal Title

      国際数理科学協会会報 73巻

      Pages: 2-14

    • Data Source
      KAKENHI-PROJECT-20540209
  • [Journal Article] Conjugate Pairs of Subfactors and Entropy for Automorphisms2011

    • Author(s)
      Marie Choda
    • Journal Title

      International Journal of Mathematics 22巻

      Pages: 577-592

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540209
  • [Journal Article] Conjugate Pairs of Subfactors and Entropy for Automorphisms2011

    • Author(s)
      Marie Choda
    • Journal Title

      International Journal of Mathematics

      Volume: 22 Pages: 577-592

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540209
  • [Journal Article] Entropy for a pair of subalgebras via automorphisms2010

    • Author(s)
      Marie Choda
    • Journal Title

      Bull.Malays.Math.Sci.Soc.(2) (印刷中)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540209
  • [Journal Article] Entropy for a Pair of Subalgebras via Automorphisms2010

    • Author(s)
      Marie Choda
    • Journal Title

      Bull.Malays.Math.Sci.Soc.

      Volume: 33 Pages: 369-384

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540209
  • [Journal Article] Entropy for a Pair of Subalgebras via Automorphisms2010

    • Author(s)
      Marie Choda
    • Journal Title

      Bull.Malays.Math.Sci.Soc. 33巻

      Pages: 369-384

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540209
  • [Journal Article] Relative Entropy for Conjugate Pairs of Subalgebras2009

    • Author(s)
      Marie Choda
    • Journal Title

      Proceedings of the workshop on Operator Theory and Operator Algebras

      Pages: 66-75

    • Data Source
      KAKENHI-PROJECT-20540209
  • [Journal Article] Relative entropy for maximal abelian subalgebras of matrices is the entropy of unistochastic matrices2008

    • Author(s)
      Marie Choda
    • Journal Title

      International Journal of Mathematics (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540193
  • [Journal Article] Relative entropy for maximal abelian subalgebras of matricesis the entropy of unistochastic matrices2008

    • Author(s)
      Marie Choda
    • Journal Title

      International Journal of Mathematics 1 9

      Pages: 767-776

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540209
  • [Journal Article] Relative entropy for maximal abelian subalgebras of matrices and the entropy of unistochastic matrices2008

    • Author(s)
      Marie Choda
    • Journal Title

      International Journal of Mathematics 19巻

      Pages: 767-776

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540209
  • [Journal Article] Entropy for automorphisms of free groups2006

    • Author(s)
      Marie Choda
    • Journal Title

      Proceedings of the Aerican Mathematical Soceity 134

      Pages: 2905-2911

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540193
  • [Journal Article] Entropy for automorphisms of free groups2006

    • Author(s)
      Marie Choda
    • Journal Title

      Proceecings of the American Mathematical Soceity (印刷中)

    • Data Source
      KAKENHI-PROJECT-17540193
  • [Journal Article] Entropy for automorphisms of free groups2006

    • Author(s)
      Marie Choda
    • Journal Title

      Proceedings of the Aerican Mathematical Soceity 134・10

      Pages: 2905-2911

    • Data Source
      KAKENHI-PROJECT-17540193
  • [Journal Article] Entropy for automorphisms on operator algebras and related notions of entropy2005

    • Author(s)
      長田 まりゑ
    • Journal Title

      Proceeaings of the workshop on Operator Theory and Operator Algebras

      Pages: 53-63

    • Data Source
      KAKENHI-PROJECT-17540193
  • [Journal Article] ENTROPY FOR AUTOMORPHISMS OF THE CROSSED PRODUCTS2004

    • Author(s)
      長田 まりゑ
    • Journal Title

      京都大学数理解析研究所講究録 1354

      Pages: 1-9

    • Data Source
      KAKENHI-PROJECT-14540205
  • [Journal Article] ENTROPY OF AUTOMORPHISMS ARISING FROM DYNAMICAL SYSTEMS THROUGH DISCRETE GROUPS WITH AMENABLE ACTIONS2004

    • Author(s)
      Marie CHODA
    • Journal Title

      Journal of Functional Analysis 217

      Pages: 181-191

    • Data Source
      KAKENHI-PROJECT-14540205
  • [Journal Article] Entropy of automorphisms arising from dynamical systems through discrete groups with amenable actions2004

    • Author(s)
      Marie Choda
    • Journal Title

      Journal of Functional Analysis Vol.217

      Pages: 181-191

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540205
  • [Journal Article] ENTROPY FOR AUTOMORPHISMS OF THE CROSSED PRODUCTS{エルゴード理論におけるエントロピーから非可換力学系でのエントロピーへ}2004

    • Author(s)
      長田 まりゑ
    • Journal Title

      京都大学数理解析研究所講究録 1354

      Pages: 1-9

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540205
  • [Journal Article] Entropy of automorphisms arising from dynamical systems through discrete groups with amenable actions2004

    • Author(s)
      Marie Choda
    • Journal Title

      Journal of Functional Analysis 217

      Pages: 181-191

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540205
  • [Journal Article] Actions of the matrix groups on the free group factors and entropy of automorphisms2003

    • Author(s)
      Marie Choda
    • Journal Title

      OPERATOR ALGEBRAS and MATHEMATICAL PHYSICS

      Pages: 51-64

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540205
  • [Journal Article] Dynamical entropy for automorphisms on exact C*-algebras2003

    • Author(s)
      Marie Choda
    • Journal Title

      Journal of Functional Analysis Vol.198

      Pages: 481-498

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540205
  • [Journal Article] Dynamical entropy for automorphisms on exact $C^*$-algebras2003

    • Author(s)
      Marie CHODA
    • Journal Title

      Journal of Functional Analysis 198

      Pages: 481-498

    • Data Source
      KAKENHI-PROJECT-14540205
  • [Journal Article] Actions of the matrix groups on the free group factors and entropy of automorphisms2003

    • Author(s)
      Marie CHODA
    • Journal Title

      OPERATOR ALGEBRAS and MATHEMATICAL PHYSICS

      Pages: 51-64

    • Data Source
      KAKENHI-PROJECT-14540205
  • [Journal Article] Actions of the matrix groups on the free group factors and entropy of automorphisms2003

    • Author(s)
      Marie Choda
    • Journal Title

      Proceedings of 4th Operator Algebras International Conference (OPERATOR ALGEBRAS AND MATHEMATICAL PHYSICS)

      Pages: 51-64

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540205
  • [Journal Article] Dynamical entropy for automorphisms on exact C*-algebras2003

    • Author(s)
      Marie Choda
    • Journal Title

      Journal of Functional Analysis 198

      Pages: 481-498

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540205
  • [Journal Article] 行列群の連続有限型因子環上への非コサイクル同値な連続個の作用2002

    • Author(s)
      長田 まりゑ
    • Journal Title

      京都大学数理解析研究所講究録 1291

      Pages: 55-72

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540205
  • [Journal Article] Entropy of Crossed Products and Entropy of Free products2002

    • Author(s)
      Marie Choda
    • Journal Title

      Journal of Operator Theory Vol.48 No.2

      Pages: 355-367

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540205
  • [Journal Article] Entropy of Crossed Products and Entropy of Free Products2002

    • Author(s)
      Marie Choda
    • Journal Title

      Journal of Operator Theory 48

      Pages: 355-367

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540205
  • [Journal Article] Entropy via partitions of unity

    • Author(s)
      長田まりゑ
    • Journal Title

      京都大学数理解析研究所講究録 印刷中

    • Data Source
      KAKENHI-PROJECT-20540209
  • [Journal Article] Entropy for automorphisms of free groups

    • Author(s)
      Marie Choda
    • Journal Title

      Proceedings of the American Mathematical Society (印刷中)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540205
  • [Journal Article] Relative entropy for maximal abelian subalgebras of matrices is the entropy of unistochastic matrices

    • Author(s)
      Marie Choda
    • Journal Title

      International Journal of Mathematics (印刷中)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540193
  • [Journal Article] Relative entropy for maximal abelian subalgebras of matrices and the entropy of unistochastic matrices

    • Author(s)
      Marie, Choda
    • Journal Title

      International Journal of Mathematics (in Press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540193
  • [Presentation] Positive definite matrices arising from unitaries2010

    • Author(s)
      Marie Choda
    • Organizer
      13th WORKSHOP : NON-COMMUTATIVE HARMONIC ANALYSIS WITH APPLICATIONS TO PROBABILITY
    • Place of Presentation
      Bedlewo, Poland
    • Year and Date
      2010-07-14
    • Data Source
      KAKENHI-PROJECT-20540209
  • [Presentation] Positive definite matrices arising from unitaries2010

    • Author(s)
      Marie Choda
    • Organizer
      13th Workshop : Non-commutative harkmonic analysis with applications to probability
    • Place of Presentation
      Bedlewo, Poland
    • Year and Date
      2010-07-14
    • Data Source
      KAKENHI-PROJECT-20540209
  • [Presentation] Unitary operators and pairs of subalgebras2010

    • Author(s)
      Marie Choda
    • Organizer
      2010 KOTAC International Conference : Operator Theory and Its Applications
    • Place of Presentation
      University of Incheon, Korea
    • Year and Date
      2010-06-17
    • Data Source
      KAKENHI-PROJECT-20540209
  • [Presentation] どこを問題にして、違いを表す数値を導き出すか2010

    • Author(s)
      長田まりゑ
    • Organizer
      公開講座
    • Place of Presentation
      賢明女子学園中学・高等学部姫路市
    • Year and Date
      2010-11-13
    • Data Source
      KAKENHI-PROJECT-20540209
  • [Presentation] Entropy via partitions of unity2010

    • Author(s)
      Marie Choda
    • Organizer
      RIMS研究集会:独立性と従属性の数理-函数解析学の視点から-
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-12-22
    • Data Source
      KAKENHI-PROJECT-20540209
  • [Presentation] Entropy for a pair of subalgebras arising from automorphisms2009

    • Author(s)
      Marie Choda
    • Organizer
      Operator Algebra Special Session AMC-2009
    • Place of Presentation
      PWTC Kuala Lumpur Malaysia
    • Year and Date
      2009-06-24
    • Data Source
      KAKENHI-PROJECT-20540209
  • [Presentation] Fourier expansions and inner conjugacy class of subfactors2009

    • Author(s)
      Marie Choda
    • Organizer
      12th WORKSHOP : NON-COMMUTATIVE HARMONIC ANALYSIS WITH APPLICATIONS TO PROBABILITY
    • Place of Presentation
      Bedlewo, Poland
    • Year and Date
      2009-08-18
    • Data Source
      KAKENHI-PROJECT-20540209
  • [Presentation] 二つの部分環の間の隔たりを測る量について2009

    • Author(s)
      Marie Choda
    • Organizer
      「関数解析学の研究とその応用」研究集会
    • Place of Presentation
      クロスパル新潟
    • Year and Date
      2009-08-28
    • Data Source
      KAKENHI-PROJECT-20540209
  • [Presentation] Entropy for a pair of subalgebras arising from automorphisms2009

    • Author(s)
      Marie Choda
    • Organizer
      AMC(Asian Mathematical Conference)-2009
    • Place of Presentation
      PWTC Kuala Lumpur Malaysia
    • Year and Date
      2009-06-24
    • Data Source
      KAKENHI-PROJECT-20540209
  • [Presentation] Relative Entropy for Conjugate Pairs of Subalgebras2009

    • Author(s)
      Marie Choda
    • Organizer
      「作用素論・作用素環論」研究集会
    • Place of Presentation
      奈良教育大学
    • Year and Date
      2009-11-19
    • Data Source
      KAKENHI-PROJECT-20540209
  • [Presentation] Entropy for inner conjugacy class of subalgebras2009

    • Author(s)
      Marie Choda
    • Organizer
      The 9th Sendai Workshop on Infinite Dimensional Analysis and Quantum Probability
    • Place of Presentation
      東北大学
    • Year and Date
      2009-09-11
    • Data Source
      KAKENHI-PROJECT-20540209
  • [Presentation] Entropy on matrix algebras2009

    • Author(s)
      Marie Choda
    • Organizer
      ESI Seminar, The Erwin Schrodinger International Institute for Mathematical
    • Place of Presentation
      Physics
    • Year and Date
      2009-09-03
    • Data Source
      KAKENHI-PROJECT-20540209
  • [Presentation] Entropies for two subalgebras of operator algebras2008

    • Author(s)
      Marie Choda
    • Organizer
      Information and Communi cat ion Conference
    • Place of Presentation
      ハンガリー(Alfred Renyi Institute of Mathematics)
    • Year and Date
      2008-08-27
    • Data Source
      KAKENHI-PROJECT-20540209
  • [Presentation] Entropies for two subalgebras of operator algebras2008

    • Author(s)
      Marie Choda
    • Organizer
      Information and Communication Conference
    • Place of Presentation
      Alfred Renyi Institute of Mathematics, Budapest, Hungary
    • Year and Date
      2008-08-27
    • Data Source
      KAKENHI-PROJECT-20540209
  • [Presentation] The entropy of unistochastic matrices and the relative entropy for maximal abelian subalgebras of matrice2007

    • Author(s)
      Marie CHODA
    • Organizer
      10th WORKSHOP: NON-COMMUTATIVE HARMONIC ANAL YSIS WITH APPLICATIONS TO PROBABILITY,
    • Place of Presentation
      Bedlewo, Poland
    • Year and Date
      2007-08-10
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540193
  • [Presentation] The entropy of unistochastic matrices and the relative entropy for maximal abelian subalgebras of matrices2007

    • Author(s)
      Marie, CHODA
    • Organizer
      10thWORKSHOR non-commutative Harmonic analysis with applications to probability
    • Place of Presentation
      Bedlewo, Poland
    • Year and Date
      2007-08-10
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540193
  • [Presentation] The entropy of unistochastic matrices and the relative entropy for maximal abelian subalgebras of matrices2007

    • Author(s)
      Marie CHODA
    • Organizer
      10th WORKSHOP: non-commutative harmonic analysis with application to probability
    • Place of Presentation
      Bedlewo, Poland
    • Year and Date
      2007-08-10
    • Data Source
      KAKENHI-PROJECT-17540193
  • [Presentation] Some example of computations for entropy in operator algebras2007

    • Author(s)
      Marie, CHODA
    • Organizer
      The seminar on Discrete Harmonic Analysis
    • Place of Presentation
      Institute of Informatic of Uniwersytet Wroclawski, Poland
    • Year and Date
      2007-08-03
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540193
  • [Presentation] Entropy and the Haagerup invariant related to groups with amenable actions2006

    • Author(s)
      Marie, CHODA
    • Organizer
      ESI Lecture
    • Place of Presentation
      ESI in Vienna, Austria
    • Year and Date
      2006-02-16
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540193
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