CHODA Marie 長田まりゑ

… Alternative Names

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 / 自己同型写像 / エントロピー / 非可換力学系 / State / 自由積 / 指数 / Automorphism / エルゴード変換 … More Except Principal Investigator bounded mean oscillation / pointwise multiplier / Campanato space / Morrey space / 作用素環 / Riesz potential / 指数 / space of homogeneous type / Orlicz space / fractional integral / 代数的組合せ論 / 自己準同型写像 / デザイン / BMO / 群論 / metric space / アソシエイションスキム / C-space / closed image / C^*-環 / multiplier / paracompact space / シフト / Holder space / 因子環 / 共役類 / space of homogeneaus type / 因子 / 条件付期待値 / ガロア理論 / 接合積 / グラフ Less

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] 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] 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

1. FUJII Masatoshi (10030462)

# of Collaborated Projects: 12 results

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2. YASUI Yoshikazu (20030372)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
3. 長田尚 (00030338)

# of Collaborated Projects: 8 results

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4. NAKAI Eiichi (60259900)

# of Collaborated Projects: 6 results

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5. KATAYAMA Yoshikazu (10093395)

# of Collaborated Projects: 4 results

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6. 大山豪 (50034707)

# of Collaborated Projects: 3 results

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7. TANAKA Hidenori (60192176)

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8. 長田潤一 (90155937)

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9. 伊藤達郎 (90015909)

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10. 竹鼻裕昭 (40116166)

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11. OKAYASU Rui (70362746)

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12. SADASUE Gaku (40324884)

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13. 鈴木寛 (10135767)

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14. 高嶋恵三 (00137184)

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15. 榎本雅俊 (70185130)

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16. 北村和雄 (30030381)

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17. 横山良三 (80124783)

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18. 亀高惟倫 (00047218)

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19. 山田耕三 (00200717)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. NAKAMOTO Atsuhiro (20314445)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. SOBUKAWA Takuya (60252946)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. IZUMISAWA Masataka (50108445)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. 綿谷安男 (00175077)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

CHODA Marie 長田 まりゑ

長田 まりゑ チョウダ マリエ

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Relative entropy for pairs of subalgebras and invariants arising from automorphismsPrincipal Investigator

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Entropy in noncommutative dynamical systems, structure of operator algebras and groups with amenable actionsPrincipal Investigator

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Entropy on non-commutative dynamical systems and the structure of operator algebrasPrincipal Investigator

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Entropy in the non-commutalrive dynamical systems and the structure of algebrasPrincipal Investigator

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Theory and applications of BMO and related function spaces on spaces of homogeneous type

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Entropy for automorphisms of operator algebrasPrincipal Investigator

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制限自由積環上の状態と自由シフトPrincipal Investigator

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homogeneous型空間上の重み付きBMO

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クンツ型自己準同型写像Principal Investigator

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指数理論と通じての環の構成Principal Investigator

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自己準同型写像による拡大環Principal Investigator

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作用素環の構造と指数理論

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グラフとII_1型因子環Principal Investigator

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CHODA Marie 長田まりゑ

長田まりゑチョウダマリエ