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KATAYAMA Yoshikazu  片山 良一

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… Alternative Names

片山 良一  タカヤマ リョウイチ

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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 / 群作用の特性類 / Conjugacy of G-Kernel / group action / Cuntz algebra / Hilbert bimodule / 外部同値類 / 外部共役同値類 / III形因子環 / G-kernel / amenable discrete group / factor of type III / 外部作用 / 3次コサイクル / 外部同値 / AFD因子環 / 3次のコサイクル / 外部自己同型 / コホモロジー群 / ハイゼンベルグ群 / outer action / 3-cohomology … 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
  • Research Projects

    (16 results)
  • Research Products

    (8 results)
  • Co-Researchers

    (46 People)
  •  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)
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  • 2.  KAWAKAMI Satoshi (20161284)
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  • 3.  CHODA Hisashi (00030338)
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  • 4.  CHODA Marie (80030378)
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  • 5.  KOYAMA Akira (40116158)
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  • 6.  SUGAHARA Kunio (20093255)
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  • 13.  ASHINO Ryuichi (80249490)
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  • 14.  TANUMA Kazumi (60217156)
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  • 18.  神保 敏弥 (80015560)
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  • 21.  吉荒 聡 (10230674)
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  • 22.  鈴木 寛 (10135767)
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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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  • 29.  KOBAYASI Kazuo (30139589)
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  • 30.  OHYA Masanori (90112896)
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  • 40.  TAKENOUCHI Osamu (20029375)
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