YAMANOUCHI Takehiko 山ノ内毅彦

… Alternative Names

山ノ内毅彦ヤマノウチタケヒコ

YAMANOUCHI Takahiko 山之内毅彦

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Researcher Number	30241293
Affiliation (Current)	2025: 東京学芸大学, 教育学部, 教授
Affiliation (based on the past Project Information) *help	2010 – 2013: 東京学芸大学, 教育学部, 教授 2007 – 2009: Hokkaido University, Fac. Of Sci., Asso. Prof. 2006: 北海道大学, 大学院・理学研究院, 助教授 2006: Hokkaido Univ., Fac. of Sci., Asso. Prof., 大学院理学研究院, 助教授 1999 – 2005: Hokkaido University, Department of Mathematics, Assistant Professor, 大学院・理学研究科, 助教授 … More 2001 – 2002: 北海道大学, 理学研究科, 助教授 1998: 北海道大学, 大学院理学研究科, 助教授 1995 – 1997: 北海道大学, 大学院・理学研究科, 助教授 1992 – 1993: 北海道大学, 理学部, 助手 Less
Review Section/Research Field	Principal Investigator Global analysis / 解析学 / Global analysis Except Principal Investigator 解析学 / Basic analysis / Global analysis / Global analysis
Keywords	Principal Investigator 因子環 / 測度付き同値関係 / 作用素環 / 量子群 / コサイクル / フォンノイマン環 / カルタン環 / Rohlin性質 / 擬ヴォロノヴィッツ環 / カッツ環 … More / 局所コンパクト量子群 / 同値関係 / ヘッケ環 / 余作用 / amenable locally compact group / ergodic flow / flow of weights / factor / discrete equivalence relation / Cartan subalegbra / coaction / 1-cocycle / III型因子環 / エルゴード流 / フォン・ノイマン環 / 通約可能擬群 / 正規化擬群 / 従順局所コンパクト群 / エルゴード流れ / 荷重の流れ / 離散同値関係 / カルタン部分環 / 1次コサイクル / Jones index / Amalgamated free product / Approximately inner automorphism / Nontype I C^-algebra / Galois group / Cartan subalgebra / von Neumann algebra / Locally compact quantum group / 量子場 / 自由積 / 基底状態 / 純粋状態空間 / UHF flow / 極小作用 / 融合積 / 融合自由積 / 近似的内部1径数自己同型群 / 非I型可分C^-環 / ガロア群 / フォンノイマン環(因子環) / AT-algebra / Rohlin property / (Injective) Factor / (Quantum group) Action / (Quasi) Woronowicz algebra / Kac algebra / Quantum group / Operator algebra / 作用 / 擬ヴォロヴィッツ環 / AT-環 / (単射)因子環 / (量子群)作用 / 部分同値関係 / ヘッケ対 / エルゴード性 / 関数解析学 / 通約可能性 / almost normal / Commensurable / Hecke環 / 部分因子間 / Commensuarble / Hecke pair / 数論 / 部分因子環 / エルゴード理論 / 無限次元有限単射因子環 / 双接合積 / 竹崎型作用素環 / 群正則表現 / カッツ代数 … More Except Principal Investigator C^-algebra / 量子群 / 作用素環 / von Neumann環 / C^環 / Heisenberg equation of motion / infinite dimensional analysis / spectrum / ground state / quantum field / Heisenberg operator / time operator / Hamiltonian / 弱ワイル関係式 / 基底状熊 / 超対称性 / カイラル・クォーク・ソリトン / ディラック作用素 / ポラロン / 生き残り確率 / ハイゼンベルグ作用素 / 相対論的量子電磁力学 / ディラック・マクスウェル作用素 / ハイゼンベルク方程式 / 無限次元解析 / 基底状態 / ハイゼンベルク作用素 / スペクトル / 量子場 / 時間作用素 / ハミルトニアン / fiber functor / Frobenius algebra / tensor category / ホップ代数 / 量子亜群 / Temperley-Lieb圏 / ファイバー関手 / フロベニウス代数 / テンソル圏 / Tomita-Takesaki theory / multiplicative unitary / duality / locally compact quantum group / quantum group / von Neumann algebra / operator algebra / Weighted Hopf C^-algebra / Hopf algebra / Kac algebra / Woronowicz algebra / Quantum Group / 二重群構成法 / 従順性 / 荷重付きHopf C^環 / Womonowicz環 / 冨田-竹崎理論 / 乗法的ユニタリ / 双対性 / 局所コンパクト量子群 / bounded analytic functions / automorphisms / von Neumann algebras / C^<**>-algebras / Dirac operators / Toeplitz operators / Bergman spaces / Hardy spaces / 古典系 / 量子系 / KK理論 / ホモトピー類 / 共役類 / ローリンの性質 / 自己同型写像 / Beraman空間 / 有界正則関数 / 自己同型 / Dirac作用素 / Toeplitz作用素 / Bergman空間 / Hardy空間 / Two subfactors / Orthogonal pair / commuting square / Augle / Jones index / Subfactor / II_1-factor Less

Study on locally compact quantum groups and measured groupoidsPrincipal Investigator
- Principal Investigator
  
  YAMANOUCHI Takehio
- Project Period (FY)
  2010 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tokyo Gakugei University
Research on von Neumann algebras from a viewpoint of their close relation with ergodic theoryPrincipal Investigator
- Principal Investigator
  
  YAMANOUCHI Takehiko
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Hokkaido University
Mathematical Problems and Infinite Dimensional Analysis in Quantum Field Theory
- Principal Investigator
  
  ARAI Asao
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Hokkaido University
Analysis and a classification problem on group/quantum group actions on operator algebrasPrincipal Investigator
- Principal Investigator
  
  YAMANOUCHI Takehiko
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Hokkaido University
Algebraic structures and analysis in tensor categories and quantum groupoids
- Principal Investigator
  
  YAMAGAMI Shigeru
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Ibaraki University
Systematic study of quantum groups from the viewpoint of operator algebrasPrincipal Investigator
- Principal Investigator
  
  YAMANOUCHI Takehiko
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  HOKKAIDO UNIVERSITY
Operator Algebraic Approach to Quantum Groups
- Principal Investigator
  
  NAKAGAMI Yoshiomi
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  JAPAN WOMEN'S UNIVERSITY
Construction of actions of operator algebraic quantum groups on injective factors and their classificationPrincipal Investigator
- Principal Investigator
  
  YAMANOUCHI Takehiko
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  HOKKAIDO UNIVERSITY
Quantization
- Principal Investigator
  
  KISHIMOTO Akitaka
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  HOKKAIDO UNIVERSITY
群正則表現とカッツ代数との関連及びカッツ代数の有限単射因子環への作用の構成Principal Investigator
- Principal Investigator
  
  山ノ内毅彦
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Hokkaido University
作用素環の部分環の構造と角度
- Principal Investigator
  
  綿谷安男
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Hokkaido University

All 2014 2010 2007 2006 2003 Other

All Journal Article Presentation

[Journal Article] Hecke von Neumann algebra of ergodic discrete measured equivalence relations2010
- Author(s)
  H.Aoi, T.Yamanouchi
- Journal Title
  
  Publications of Research Institute for Mathematical Sciences, Kyoto University
  
  Volume: 46 Pages: 607-667
- NAID
  110007697250
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540215
[Journal Article] Hecke von Neumann algebra of ergodic discrete measured equivalence relations2010
- Author(s)
  H. Aoi、T. Yamanouchi
- Journal Title
  
  Publications of Research Institute for Mathematical Sciences
  
  Volume: Vol.46(Kyoto University) Issue: 3 Pages: 607-667
- DOI
  10.2977/prims/20
- NAID
  110007697250
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540215
[Journal Article] One-cocycles on smooth flows of weights and extended modular coactions2007
- Author(s)
  T.Yamanouchi
- Journal Title
  
  Ergodic Theory and Dynamical Systems 27
  
  Pages: 285-318
- NAID
  120000962265
- Data Source
  KAKENHI-PROJECT-17340032
[Journal Article] One-cocycles on smooth flows of weights and extended modular coactions2007
- Author(s)
  T.Yamanouchi
- Journal Title
  
  Ergodic Theory and Dynamical Systems 27
  
  Pages: 285-318
- NAID
  120000962265
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540180
[Journal Article] Normality for an inclusion of ergodic discrete measured equivalence relations in the von Neumann algebraic framework2007
- Author(s)
  T. YAMANOUCHI
- Journal Title
  
  Journal of the Mathematical Society of Japan Vol. 59
  
  Pages: 993-1009
- NAID
  10019989259
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540206
[Journal Article] One-cocycles on smooth flows of weights and extended modular coactions2007
- Author(s)
  T. YAMANOUCHI
- Journal Title
  
  Ergodic Theory and Dynamical Systems Vol. 27
  
  Pages: 285-318
- NAID
  120000962265
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540206
[Journal Article] Normality for an inclusion of ergodic discrete measured equivalence Relations in the von Neumann algebra framework2007
- Author(s)
  Takehiko Yamanouchi
- Journal Title
  
  Journal of the Mathematical Society of Japan 59
  
  Pages: 993-1009
- NAID
  10019989259
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540206
[Journal Article] A characterization of coactions whose fixed-point algebras contain special maximal abelian *-subalgebras,2006
- Author(s)
  T.Yamanouchi
- Journal Title
  
  Ergodic Theory and Dynamical Systems 26
  
  Pages: 1673-1706
- NAID
  120000970184
- Data Source
  KAKENHI-PROJECT-17340032
[Journal Article] On the normalizing groupoid and the commensurability groupoids for inclusions of factors associated to ergodic equivalence relations-subrelations2006
- Author(s)
  T.Yamanouchi
- Journal Title
  
  Journal of Functional Analysis 240
  
  Pages: 297-333
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540180
[Journal Article] On the normalizing groupoid and the commensurability groupoids for inclusions of factors associated to ergodic equivalence relations-subrelations2006
- Author(s)
  T.Yamanouchi
- Journal Title
  
  Journal of Functional Analysis 240
  
  Pages: 297-333
- Data Source
  KAKENHI-PROJECT-17340032
[Journal Article] On the normalizing groupoid and the commensurability groupoids for inclusions of factors associated to ergodic equivalence rela- tions-subrelations2006
- Author(s)
  T.Yamanouchi
- Journal Title
  
  Journal of Functional Analysis 240
  
  Pages: 297-333
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540180
[Journal Article] A characterization of coactions whose fixed-point algebras contain special maximal abelian *-subalgebras2006
- Author(s)
  T.Yamanouchi
- Journal Title
  
  Ergodic Theory and Dynamical Systems 26
  
  Pages: 1673-1706
- NAID
  120000970184
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540180
[Journal Article] Takesaki duality for weights on locally compact quantum group covariant systems2003
- Author(s)
  Takehiko Yamanouchi
- Journal Title
  
  J. Operator Theory 50
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540196
[Journal Article] Takesaki duality for weights on locally compact quantum group covariant systems2003
- Author(s)
  Takehiko Yamanouchi
- Journal Title
  
  J.Operator Theory 50
  
  Pages: 53-66
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540196
[Journal Article] Hecke von Neumann algebra of ergodic discrete measured equivalence relations
- Author(s)
  H. AOI, T, YAMANOUCHI
- Journal Title
  
  Publications of Research Institute for Mathematical Sciences, Kyoto University (掲載決定)
- NAID
  110007697250
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540206
[Presentation] Schlichting completion of Hecke pairs2014
- Author(s)
  青井久(発表者)、山ノ内毅彦
- Organizer
  2014年日本数学会春季・函数解析分科会
- Place of Presentation
  学習院大学、東京都
- Year and Date
  2014-03-17
- Data Source
  KAKENHI-PROJECT-22540215
[Presentation] Schlichting completion of Hecke pairs2014
- Author(s)
  青井久(連携研究者, 発表代表者), 山ノ内毅彦(研究代表者)
- Organizer
  日本数学会
- Place of Presentation
  学習院大学、東京都
- Data Source
  KAKENHI-PROJECT-22540215

1. KISHIMOTO Akitaka (00128597)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
2. ARAI Asao (80134807)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
3. AOI Hisashi (90396276)

# of Collaborated Projects: 2 results

# of Collaborated Products: 5 results
4. YOSHINO Takashi (50005774)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. HAYASHI Mikihiro (40007828)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. NAKAZI Takahiko (30002174)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. SEKINE Yoshihiro (30243885)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. UEDA Yoshimichi (00314724)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. NAKAGAMI Yoshiomi (70091246)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. KUROSE Hideki (00161795)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. FUJII Kazuyuki (00128084)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. MINEMURA Katsuhiro (20060684)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. YAMAGAMI Shigeru (90175654)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. OSHIMA Hideaki (70047372)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. MASUOKA Akira (50229366)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. 日比孝之 (80181113)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. 鈴木治夫 (80000735)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. 大枝一男 (10060675)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

YAMANOUCHI Takehiko 山ノ内 毅彦

山ノ内 毅彦 ヤマノウチ タケヒコ

YAMANOUCHI Takahiko 山之内 毅彦

Research Projects

Research Products

Co-Researchers

Study on locally compact quantum groups and measured groupoidsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on von Neumann algebras from a viewpoint of their close relation with ergodic theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Mathematical Problems and Infinite Dimensional Analysis in Quantum Field Theory

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Analysis and a classification problem on group/quantum group actions on operator algebrasPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Algebraic structures and analysis in tensor categories and quantum groupoids

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Systematic study of quantum groups from the viewpoint of operator algebrasPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Operator Algebraic Approach to Quantum Groups

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Construction of actions of operator algebraic quantum groups on injective factors and their classificationPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Quantization

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

群正則表現とカッツ代数との関連及びカッツ代数の有限単射因子環への作用の構成Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

作用素環の部分環の構造と角度

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Hecke von Neumann algebra of ergodic discrete measured equivalence relations2010

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Hecke von Neumann algebra of ergodic discrete measured equivalence relations2010

Author(s)

Journal Title

YAMANOUCHI Takehiko 山ノ内毅彦

山ノ内毅彦ヤマノウチタケヒコ

YAMANOUCHI Takahiko 山之内毅彦