KATAYAMA Yoshikazu 片山良一

… Alternative Names

Researcher Number	10093395
Other IDs
Affiliation (based on the past Project Information) *help	1998 – 2007: Osaka Kyoiku U., Faculty of Education, Prof., 教育学部, 教授 1997: 大阪教育大学, 教育学部, 助教授 1995: 大阪教育大学, 教育学部, 助教授 1993: 大阪教育大学, 教育学部, 助教授 1990 – 1991: 大阪教育大学, 教育学部, 助教授 1986: 滋賀県立短期大学, 助教授
Review Section/Research Field	Principal Investigator Global analysis / Global analysis Except Principal Investigator 解析学 / Geometry / Basic analysis / Global analysis / Algebra / 代数学・幾何学 / General mathematics (including Probability theory/Statistical mathematics) / Global analysis
Keywords	Principal Investigator G-核 / 従順な離散群 / III型因子環 / outer conjugate / G-核の共役類 / 群作用 / Cuntz環 / ヒルベルト加群 / 超有限因子環 / Cuntz-Krieger環 … More Except Principal Investigator 作用素環 / 接合積 / 非可換力学系 / エルゴード変換 / 自己同型写像 / 自由積 / エントロピー / Automorphism / Non-commutative dynamical system / Entropy / State / Riemann多様体 / Alexandrov空間 / 理想境界 / Busemann関数 / Riemannian manifold / ideal boundary / Operator algebras / Crossed product / 群の作用 / Operator Algebars / 指数(index) / エントロピ-(entropy) / フォンノイマン環(von Neumann algebra) / 条件付期待値(conditional expectation) / 作用素値ウェイト(operator valued weight) / 指数型微分(indicial derivative) / 従順群(amenable group) / AFDー因子環(AFD factor) / ガロア理論 / 指数 / 因子環 / 自己準同型写像 / インシデンス幾何 / Association Schewe / acyclic resolution / 中心極限定理 / factor / 距離正則グラフ / グラフのスペクトラ / 交叉図形 / アソシエイションスキ-ム / Pーpolynomial / Qーpolynomial / アモルファススキ-ム / ガウス和 / 最小跡 / 調和写像 / Alexandrov space / Busemann function / cut locus / ハーディ空間 / 特異積分 / 強一意接続定理 / 非線型力学系 / 指数理論 / 量子アルゴリズム / D加群 / Hardy空間 / Navier-Stokes方程式 / 相転移 / ホロノミック系 / Turnbull等式 / Putnam不等式 / Jaynes-Cummingsモデル / Singular integral / Hardy space / Navier-Stokes equation / Phase transition / Dirac equation / Pfaffian / p-hyponormal operator / chaos theory / 超局所解析 / マルチウェーブレット / フィルタ / 時間周波数解析 / ウェーブレット解析 / 画像処理 / Wavelet / ウェーブレット / Matlab / 正規直交ウェーブレット / 古典的ハーディ空間 / 佐藤の超関数 / 微分方程式ソルバー / microlocal analysis / multiwavelet / filter / time frequency analysis / wavelet analysis / image processing / Liouville多様体 / Liouville manifold / C^*-algebra / Free product / 境界値逆問題 / インピーダンス・トモグラフィー / 再構成公式 / 組織異方性 / サーフェス・インピーダンス / Rayleigh波 / 残留応力 / 音弾性係数 / texture / 音弾性 / Strohの定式化 / Dirichlet to Neumann map / 逆問題 / 導電方程式 / 弾性体方程式 / 非等方弾性体 / 再構成 / inverse boundary value problems / impedance tomography / reconstruction formula / crystallographic texture / surface impedance tensor / Rayleigh wave / initial stress / acoustoelastic coefficient / Group / free product / 群 / 状態 / Amenable / Relative Entropy / Maximal abelian subalgebra / 関数解析学 / Jonesの指標 / 相みエートロピー / 完全正写像 / C^x力学系 / 有界表現 / 微分(作用素環における) / 完全有界写像 / index / 相対エントロピー / Functional analysis / Jones index / Relative entropy / Complete positive map C^ dynamical system / Bounded representation Less

Entropy in noncommutative dynamical systems, structure of operator algebras and groups with amenable actions
- 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
The explicit computations of the modular obstruction for G-kernel on a certain AFD factorPrincipal Investigator
- Principal Investigator
  
  KATAYAMA Yoshikazu
- Project Period (FY)
  2004 – 2005
- 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 algebras
- 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
G-kernel of amenable discrete groups on AFD factors of type IIIPrincipal Investigator
- Principal Investigator
  
  KATAYAMA Yoshikazu
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Osaka Kyoiku University
Reconstruction methods in inverse boundary value problems
- Principal Investigator
  
  TANUMA Kazumi
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Gunma University
Geometry of Points at Infinity
- Principal Investigator
  
  SUGAHARA Kunio
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka Kyoiku University
Entropy in the non-commutalrive dynamical systems and the structure of algebras
- 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
Comprehensive Study of Real Analysis and Functional Analysis
- Principal Investigator
  
  MIYACHI Akihiko
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (A).
- Research Field
  
  Basic analysis
- Research Institution
  Tokyo Woman's Christian University
Microlocal filtering with multiwavelets
- Principal Investigator
  
  ASHINO Ryuichi
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka Kyoiku University
Automorphisms on generalized Cuntz algebra and quasi free statePrincipal Investigator
- Principal Investigator
  
  KATAYAMA Yoshikazu
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Osaka Kyoiku University
Compactifications of Riemannian manifolds and points at infinity
- Principal Investigator
  
  SUGAHARA Kunio
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka Kyoiku University
階数3のインシデンス幾何
- Principal Investigator
  
  吉荒聡
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka Kyoiku University
作用素環の構造と指数理論
- Principal Investigator
  
  CHODA Hisashi
- Project Period (FY)
  1993
- 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
  
  伊藤達郎
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka Kyoiku University
部分環の指数とエントロピ-に関する研究
- Principal Investigator
  
  KAWAKAMI Satoshi
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nara University of Education
Theory and applications of functional analysis
- Principal Investigator
  
  TAKENOUCHI Osamu
- Project Period (FY)
  1986 – 1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka University

All 2007 2005 2004 Other

All Journal Article

[Journal Article] Outer actions of a discrete amenable group on approximately finite dimensional factors. II2007
- Author(s)
  Yoshikazu Katayama
- Journal Title
  
  Math. Scand. 100
  
  Pages: 75-129
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540193
[Journal Article] Outer actions of a discrete amenable group on approximately finite dimensional factors. II2007
- Author(s)
  Yosikazu, Katayama, M. Takesaki
- Journal Title
  
  Math. Scand 100-1
  
  Pages: 75-129
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540193
[Journal Article] Classification Program - An Example-2005
- Author(s)
  片山良一
- Journal Title
  
  Proceeaings of the workshop on Operator Theory and Operator Algebras
  
  Pages: 75-84
- Data Source
  KAKENHI-PROJECT-17540193
[Journal Article] Outer actions of a discrete amenable groups on approximately finite dimensional factors I : General theory2004
- Author(s)
  Y.Katayama, M.Takesaki
- Journal Title
  
  Contemporary Mathematics Vol.365
  
  Pages: 181-237
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540205
[Journal Article] Outer actions of a countable discrete amenable group on AFD factors2004
- Author(s)
  Y.Katayama, M.Takesaki
- Journal Title
  
  Contemporary Mathematics 365
  
  Pages: 181-237
- Data Source
  KAKENHI-PROJECT-16540193
[Journal Article] Outer actions of a discrete amenable group on approximately finite Dimensional factors II, The_III_λ-Case, λ≠0
- Author(s)
  Y.Katayama
- Journal Title
  
  Math.Scand. To appear
- Data Source
  KAKENHI-PROJECT-16540193
[Journal Article] Outer actions of discrete amenable group on approximately finite dimensional factor II, The IIIλ-Case, λ≠0
- Author(s)
  Y.Katayama, M.Takesaki
- Journal Title
  
  Math.Scand. (To appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540193
[Journal Article] Outer actions of discrete amenable group on approximately finite dimensional factor II, The III-λ-Cace, λ≠0
- Author(s)
  Y.Katayama, M.Takesaki
- Journal Title
  
  Math. Scand. (To appear in)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540193

1. FUJII Masatoshi (10030462)

# of Collaborated Projects: 7 results

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2. KAWAKAMI Satoshi (20161284)

# of Collaborated Projects: 4 results

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3. CHODA Marie (80030378)

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4. KOYAMA Akira (40116158)

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5. SUGAHARA Kunio (20093255)

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6. CHODA Hisashi (00030338)

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7. 高嶋恵三 (00137184)

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8. MACHIGASHIRA Yoshiroh (00253584)

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9. O'UCHI Motoo (70127885)

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10. YOKOYAMA Ryouzou (80124783)

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11. 伊藤達郎 (90015909)

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12. ITOH Jin-ichi (20193493)

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13. ASHINO Ryuichi (80249490)

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14. TANUMA Kazumi (60217156)

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15. NAKAI Eiichi (60259900)

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16. SADASUE Gaku (40324884)

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17. 菊池徹平 (50031589)

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18. 神保敏弥 (80015560)

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19. 北村和雄 (30030381)

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20. 安井義和 (20030372)

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21. 吉荒聡 (10230674)

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22. 鈴木寛 (10135767)

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23. 大山豪 (50034707)

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24. KAWAI Shigeo (30186043)

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25. 竹鼻宏昭 (40116166)

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26. MIYACHI Akihiko (60107696)

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27. WAKAYAMA Masato (40201149)

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28. CHO Muneo (10091620)

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29. KOBAYASI Kazuo (30139589)

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30. OHYA Masanori (90112896)

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31. OKAJI Takashi (20160426)

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32. 田島慎一 (70155076)

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33. CHODA Hisashi (00030389)

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34. NAGASE Michihiro (70034733)

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35. INNAMI Nobuhiro (20160145)

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36. SAITOH Saburoh (10110397)

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37. NAKAMURA Gen (50118535)

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38. AMANO Kazuo (90137795)

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39. IKEHATA Masaru (90202910)

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40. OKAYASU Rui (70362746)

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41. TAKENOUCHI Osamu (20029375)

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42. NAGISA Masaru (50189172)

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43. HAYAKAWA Kantaro (10028201)

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44. SHIRAHATA Shingo (10037294)

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45. KURISU Tadashi (00029159)

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46. SAKAGUCHI Minoru (70029388)

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47. 丘本正 (80029389)

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KATAYAMA Yoshikazu 片山 良一

片山 良一 タカヤマ リョウイチ

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The explicit computations of the modular obstruction for G-kernel on a certain AFD factorPrincipal Investigator

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G-kernel of amenable discrete groups on AFD factors of type IIIPrincipal Investigator

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Automorphisms on generalized Cuntz algebra and quasi free statePrincipal Investigator

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KATAYAMA Yoshikazu 片山良一

片山良一タカヤマリョウイチ