TOMATSU Reiji 戸松玲治

… Alternative Names

Tomatsu Reiji 戸松怜治

戸松玲治トマツレイジ

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Researcher Number	70447366
Other IDs
External Links
Affiliation (Current)	2025: 早稲田大学, 教育・総合科学学術院, 教授
Affiliation (based on the past Project Information) *help	2020 – 2023: 早稲田大学, 教育・総合科学学術院, 教授 2016 – 2019: 北海道大学, 理学研究院, 准教授 2014 – 2015: 北海道大学, 理学研究科, 准教授 2012 – 2015: 北海道大学, 理学(系)研究科(研究院), 准教授 2011: 北海道大学, 大学院・理学研究院, 准教授 … More 2011: 北海道大学, 大学院・理学院研究院, 准教授 2009 – 2010: Tokyo University of Science, 理工学部, 講師 2007: 東大, 数理(科)学研究科(研究院) Less
Review Section/Research Field	Principal Investigator Global analysis / Basic Section 12010:Basic analysis-related / Basic analysis Except Principal Investigator Global analysis
Keywords	Principal Investigator 量子群 / von Neumann環 / C環 / 作用素環 / テンソル圏 / フォンノイマン環 / flow / Rohlin性 / 作用 / 従順性 … More / Cテンソル圏 / 誘導作用 / 量子旗多様体 / 無限テンソル積作用 / von Neumann algebra / Haagerup property / 連結単純lie群 / 自己同型 / Kac環 … More Except Principal Investigator テンソル圏 / 部分因子環 / 群作用 / 作用素環 / 単射的因子環 / ロホリン性 / von Neumann環 / 分類 / 自己同型 / コンパクト群 / 離散従順群 / 一径数自己同型群 / K-理論 / C*-環 / 郡作用 / 作用素環論 / K理論 / 国際研究者交流 / 函数解析 Less

Research of quantum group actions on operator algebrasPrincipal Investigator
- Principal Investigator
  
  戸松玲治
- Project Period (FY)
  2021 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Waseda University
Research of quantum group actions on operator algebrasPrincipal Investigator
- Principal Investigator
  
  Tomatsu Reiji
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Waseda University
  Hokkaido University
Study of group-quantum group actions on operator algebrasPrincipal Investigator
- Principal Investigator
  
  Tomatsu Reiji
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Hokkaido University
Study of quantum group actions on von Neumann algebrasPrincipal Investigator
- Principal Investigator
  
  TOMATSU Reiji
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Hokkaido University
Research of automorphism groups and group action classification of operator algebras
- Principal Investigator
  
  Masuda Toshihiko
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Kyushu University
A csomprehensive study of symmetries of operator algebras
- Principal Investigator
  
  IZUMI Masaki
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Kyoto University
Research of operator algebraic quantum groupsPrincipal Investigator
- Principal Investigator
  
  TOMATSU Reiji
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Hokkaido University
  Tokyo University of Science
作用素環論的量子群の研究Principal Investigator
- Principal Investigator
  
  戸松玲治
- Project Period (FY)
  2007
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  The University of Tokyo

All 2021 2019 2017 2016 2015 2013 2012 2011 2010 2009 Other

All Journal Article Presentation

[Journal Article] Centrally Free Actions of Amenable C*-tensor categories on von Neumann algebras2021
- Author(s)
  Reiji Tomatsu
- Journal Title
  
  Comm. Math. Phys.
  
  Volume: 383 Pages: 71-152
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03317
[Journal Article] Haagerup approximation property via bimodules2017
- Author(s)
  Rui Okayasu, Narutaka Ozawa, Reiji Tomatsu
- Journal Title
  
  Math. Scand.
  
  Volume: 121 Pages: 75-91
- NAID
  120006536945
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04889
[Journal Article] Rohlin flows on von Neumann algebras2016
- Author(s)
  Toshihiko Masuda and Reiji Tomatsu
- Journal Title
  
  Memoirs of the American Mathematical Society
  
  Volume: 未定
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23540246
[Journal Article] Classification of actions of discrete Kac algebras on injective factors2016
- Author(s)
  Toshihiko Masuda and Reiji Tomatsu
- Journal Title
  
  Memoirs of the American Mathematical Society
  
  Volume: 未定
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23540246
[Journal Article] Classification of actions of discrete Kac algebras on injective factors2015
- Author(s)
  Toshihiko Masuda and Reiji Tomatsu
- Journal Title
  
  Memoirs of the American Mathematical Society
  
  Volume: 未定
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23540246
[Journal Article] Rohlin flow on von Neumann algebras2015
- Author(s)
  Toshihiko, Masuda, and Reiji Tomatsu
- Journal Title
  
  Memoirs of the American Mathematical Society
  
  Volume: 未定
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23540246
[Journal Article] Idempotent states on compact quantum groups and their classification on Uq(2), SUq(2), and SOq(3)2013
- Author(s)
  U. Franz, A. Skalski, R. Tomatsu
- Journal Title
  
  J. Noncommut. Geom.
  
  Volume: 7 Issue: 1 Pages: 221-254
- DOI
  10.4171/jncg/115
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740095
[Journal Article] On square roots of the Haar state on comapact quantum groups2012
- Author(s)
  U.Franz, A.Skalski, R.Tomatsu
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: (掲載確定) Issue: 10 Pages: 2079-2093
- DOI
  10.1016/j.jpaa.2012.01.020
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740112
[Journal Article] On Square Roots of the Haar State on Compact Quantum Groups2012
- Author(s)
  U. Franz, A. Skalski, R. Tomatsu
- Journal Title
  
  the Journal of Pure and Applied Algebra
  
  Volume: Volume216, Issue10 Pages: 2079-2093
- Data Source
  KAKENHI-PROJECT-21740112
[Journal Article] Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III2010
- Author(s)
  戸松玲治、増田俊彦
- Journal Title
  
  Journal of Funcional Analysis 258
  
  Pages: 1965-2025
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740112
[Journal Article] Approximate innerness and central triviality of endomorphisms2009
- Author(s)
  戸松玲治、増田俊彦
- Journal Title
  
  Advances in Mathematics 220
  
  Pages: 1075-1134
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740112
[Journal Article] A Galois correspondence for compact quantum group actions2009
- Author(s)
  戸松玲治
- Journal Title
  
  Journal fur die reine und anguewandte Mathema-tik 633
  
  Pages: 165-182
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740112
[Presentation] Centrally free actions of amenable C*-tensor categories on von Neumann algebras2019
- Author(s)
  Reiji Tomatsu
- Organizer
  Oberwolfach meeting
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03317
[Presentation] Centrally free actions of amenable C*-tensor categories on von Neumann algebras2019
- Author(s)
  Reiji Tomatsu
- Organizer
  RIMS研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-18K03317
[Presentation] Continuous crossed product decompostion of ultraproduct von Neumann algebras2017
- Author(s)
  戸松　玲治
- Organizer
  日本数学会2017年度年会
- Place of Presentation
  首都大学東京(東京都八王子市)
- Data Source
  KAKENHI-PROJECT-15K04889
[Presentation] Continuous crossed product decompostion of ultraproduct von Neumann algebras2017
- Author(s)
  戸松　玲治
- Organizer
  Non-Commutative Analysis
- Place of Presentation
  Chennai (India)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04889
[Presentation] Haagerup approximation property for locally compact quantum groups2015
- Author(s)
  戸松玲治
- Organizer
  テニュアトラックミニ研究集会
- Place of Presentation
  お茶の水女子大学（東京都文京区）
- Year and Date
  2015-03-26
- Invited
- Data Source
  KAKENHI-PROJECT-24740095
[Presentation] Classification of actions of amenable discrete Kac algebras on injective factors2012
- Author(s)
  戸松玲治
- Organizer
  Conference on von Neumanna algebras and relatea topics
- Place of Presentation
  京都大学(京都市)(招待講演)
- Year and Date
  2012-01-12
- Data Source
  KAKENHI-PROJECT-21740112
[Presentation] Classification of actions of discrete amenable Kac algebras on von Neumann algebras2012
- Author(s)
  R. Tomatsu
- Organizer
  Conference on von Neumann algebras and Related Topics, RIMS
- Place of Presentation
  Kyoto University,(Kyoto city)
- Year and Date
  2012-01-12
- Data Source
  KAKENHI-PROJECT-21740112
[Presentation] フォンノイマン環への群・量子群作用の分類II,IV2011
- Author(s)
  戸松玲治
- Organizer
  RIMS共同研究作用素環の対称性の研究
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-21740112
[Presentation] Kac型従順離散量子群の従順因子環への作用の分類2010
- Author(s)
  R. Tomatsu
- Organizer
  日本数学会
- Place of Presentation
  名古屋大学(名古屋市)
- Year and Date
  2010-09-24
- Data Source
  KAKENHI-PROJECT-21740112
[Presentation] Kac型従順離散量子群の従順因子環への作用の分類2010
- Author(s)
  戸松玲治
- Organizer
  2010日本数学会秋季総合分科会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-24
- Data Source
  KAKENHI-PROJECT-21740112
[Presentation] 従順離散カッツ環の単射的因子環への作用の分類2010
- Author(s)
  戸松玲治
- Organizer
  実関数論関数解析合同シンポジウム
- Place of Presentation
  東京理科大学野田キャンパス
- Year and Date
  2010-08-02
- Data Source
  KAKENHI-PROJECT-21740112
[Presentation] Classification of actions of discrete amenable Kac algebras on von Neumann algebras2010
- Author(s)
  R. Tomatsu
- Organizer
  実函数論関数解析学合同シンポジウム
- Place of Presentation
  東京理科大学野田キャンパス(野田市)
- Year and Date
  2010-08-02
- Data Source
  KAKENHI-PROJECT-21740112
[Presentation] Classification of actions of discrete amenable Kac algebras on von Neumann algebras2009
- Author(s)
  R. Tomatsu
- Organizer
  Non-commutative Harmonic Analysis with Applications to Probability
- Place of Presentation
  Bedlewo(Poland)
- Year and Date
  2009-08-21
- Data Source
  KAKENHI-PROJECT-21740112
[Presentation] Classification of actions of a discrete amenable Kac algebra on amenable von Neumann factors2009
- Author(s)
  戸松玲治
- Organizer
  12^<th> workshop Non-commutative harmonic analysis
- Place of Presentation
  The mathematical research and conference center, Poland
- Year and Date
  2009-08-21
- Data Source
  KAKENHI-PROJECT-21740112
[Presentation] Rohlin flows on von Neumann algebras
- Author(s)
  戸松玲治
- Organizer
  RIMS研究集会
- Place of Presentation
  京都大学（京都市）
- Data Source
  KAKENHI-PROJECT-24740095
[Presentation] Von Neumann環上のRohlin flowの分類について
- Author(s)
  戸松玲治
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  九州大学 (福岡市)
- Data Source
  KAKENHI-PROJECT-24740095
[Presentation] Von Neumann環への群・量子群作用の分類問題
- Author(s)
  戸松玲治
- Organizer
  日本数学会年会
- Place of Presentation
  京都大学（京都市）
- Invited
- Data Source
  KAKENHI-PROJECT-24740095

1. IZUMI Masaki (80232362)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
2. KAWAHIGASHI Yasuyuki (90214684)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

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4. MATUI Hiroki (40345012)

# of Collaborated Projects: 1 results

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5. OZAWA Narutaka (60323466)

# of Collaborated Projects: 1 results

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6. OKAYASU Rui (70362746)

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7. KIDA Yoshikata (90451517)

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8. YAMAGAMI Shigeru (90175654)

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9. Masuda Toshihiko (60314978)

# of Collaborated Projects: 1 results

# of Collaborated Products: 4 results

TOMATSU Reiji 戸松 玲治

Tomatsu Reiji 戸松 怜治

戸松 玲治 トマツ レイジ

Research Projects

Research Products

Co-Researchers

Research of quantum group actions on operator algebrasPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Research of quantum group actions on operator algebrasPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study of group-quantum group actions on operator algebrasPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of quantum group actions on von Neumann algebrasPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research of automorphism groups and group action classification of operator algebras

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

A csomprehensive study of symmetries of operator algebras

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research of operator algebraic quantum groupsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

作用素環論的量子群の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Centrally Free Actions of Amenable C*-tensor categories on von Neumann algebras2021

Author(s)

Journal Title

Data Source

[Journal Article] Haagerup approximation property via bimodules2017

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Rohlin flows on von Neumann algebras2016

Author(s)

Journal Title

Data Source

[Journal Article] Classification of actions of discrete Kac algebras on injective factors2016

Author(s)

Journal Title

Data Source

[Journal Article] Classification of actions of discrete Kac algebras on injective factors2015

Author(s)

Journal Title

Data Source

[Journal Article] Rohlin flow on von Neumann algebras2015

Author(s)

Journal Title

Data Source

[Journal Article] Idempotent states on compact quantum groups and their classification on Uq(2), SUq(2), and SOq(3)2013

TOMATSU Reiji 戸松玲治

Tomatsu Reiji 戸松怜治

戸松玲治トマツレイジ