OKAYASU Rui 岡安類

Researcher Number	70362746
Other IDs
Affiliation (Current)	2025: 大阪教育大学, 教育学部, 准教授
Affiliation (based on the past Project Information) *help	2007 – 2023: Osaka Kyoiku University, Fucalty of Education, Associate Professor 2006: 大阪教育大学, 教育学部, 助教授 2004 – 2005: 大阪教育大学, 教育学部, 助手
Review Section/Research Field	Principal Investigator Basic analysis / Global analysis Except Principal Investigator Global analysis
Keywords	Principal Investigator 作用素環 / von Neumann 環 / von Neumann環 / C-環 / 自己同型写像 / エントロピー / 自由群 / 因子環 / Haagerup property / von Neumann algebra … More / 群作用 / 従順性 / 郡環 / 離散群 / 群グラフ / 境界作用 / 摂動理論 / 接合積 / 比集合 / フォンノイマン環 / 軌道同型 / 調和測度 / ポアソン境界 / 無限遠境界 / 双曲的群 … More Except Principal Investigator 作用素環 / エルゴード変換 / 状態 / 群 / 接合積 / 非可換力学系 / エントロピー / 自己同型写像 / Maximal abelian subalgebra / Relative Entropy / State / Entropy / Non-commutative dynamical system / Amenable / Automorphism / Operator Algebars / 自由積 / 群の作用 / テンソル圏 / K-理論 / C-環 / 部分因子環 / 郡作用 / 作用素環論 / K理論 / 国際研究者交流 / 群作用 / 函数解析 / エルゴート変換 / 相対エントロピー / 因子環 / 共役類 / 非可換エントロピー Less

Approximation property for operator algebras and its applicationPrincipal Investigator
- Principal Investigator
  
  Okayasu Rui
- Project Period (FY)
  2017 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka Kyoiku University
General study of operator algebras and discrete groupsPrincipal Investigator
- Principal Investigator
  
  Okayasu Rui
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka Kyoiku 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
Actions of discrete groups on operator algebras and their invariantsPrincipal Investigator
- Principal Investigator
  
  OKAYASU Rui
- Project Period (FY)
  2009 – 2012
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Osaka Kyoiku University
Relative entropy for pairs of subalgebras and invariants arising from automorphisms
- 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 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
双曲的群の無限遠境界作用の作用素環論的研究Principal Investigator
- Principal Investigator
  
  岡安類
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Osaka Kyoiku University

All 2022 2021 2017 2016 2015 2014 2012 2011 2010 2008 2007 2006 2005 Other

All Journal Article Presentation

[Journal Article] A note on injectivite factors with trivial bicentralizer2022
- Author(s)
  Rui Okayasu
- Journal Title
  
  Publications of the Research Institute for Mathematical Sciences
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05278
[Journal Article] Haagerup approximation property via bimodules2017
- Author(s)
  Rui Okayasu, Narutaka Ozawa, Reiji Tomatsu
- Journal Title
  
  Mathematica Scandinavica
  
  Volume: 印刷中
- NAID
  120006536945
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25800065
[Journal Article] Haagerup approximation property via bimodules2017
- Author(s)
  R. Okayasu, N. Ozawa, R. Tomatsu
- Journal Title
  
  Math. Scand.
  
  Volume: 121 Issue: 1 Pages: 75-91
- DOI
  10.7146/math.scand.a-25970
- NAID
  120006536945
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05277, KAKENHI-PROJECT-17K05278, KAKENHI-PROJECT-15H05739
[Journal Article] Haagerup approximation property and positive cones associated with a von Neumann algebra2016
- Author(s)
  Rui Okayasu, Reiji Tomatsu
- Journal Title
  
  the Journal of Operator Theory
  
  Volume: 75 Pages: 259-288
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25800065
[Journal Article] Generalisations of the Haagerup approximation property to arbitrary von Neumann algebras2014
- Author(s)
  M. Caspers, R. Okayasu, A. Skalski, R. Tomatsu
- Journal Title
  
  C. R. Acad. Sci. Paris
  
  Volume: 358
- NAID
  120005460259
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25800065
[Journal Article] Relative entropy for abelian subalgebras2010
- Author(s)
  Rui Okayasu
- Journal Title
  
  Internat J.Math. no.4(21)
  
  Pages: 537-550
- Data Source
  KAKENHI-PROJECT-20540209
[Journal Article] Relative entropy for abelian subalgebras2010
- Author(s)
  Rui Okayasu:
- Journal Title
  
  International Journal of Mathematics
  
  Volume: 21 Pages: 537-550
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740119
[Journal Article] Entropy for C*-algebras with tracial rank zero2010
- Author(s)
  Rui Okayasu
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 138 Pages: 3609-3621
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740119
[Journal Article] Entropy for C*-algebras with tracial rank zero2010
- Author(s)
  Rui Okayasu
- Journal Title
  
  Proc.Amer.Math.Soc. no.10(138)
  
  Pages: 3609-3621
- Data Source
  KAKENHI-PROJECT-20540209
[Journal Article] Entropy for C^*-algebras with tracial rank zero2010
- Author(s)
  Rui Okayasu
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 138 Pages: 3609-3621
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740119
[Journal Article] Entropy for C-algebras with tracial rank zero2010
- Author(s)
  Rui Okayasu
- Journal Title
  
  Proc.Amer.Math.Soc.
  
  Volume: 138 Pages: 3609-3621
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540209
[Journal Article] The ratio set of the harmonic measure of a random walk on a hyperbolic group2008
- Author(s)
  Izumi, M., Neshveyev, S., Okayasu, R
- Journal Title
  
  Israel J. Math 163
  
  Pages: 285-316
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540193
[Journal Article] The ratio set of the harmonic measure of a random walk on a hyperbolic group2008
- Author(s)
  Masaki Izumi, Sergey Nesyaveyev, Rui Okayasu
- Journal Title
  
  Israel J.Math. 163巻
  
  Pages: 285-316
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540209
[Journal Article] Gromov hyperbolic groups and the Maacev norm2006
- Author(s)
  Rui Okayasu
- Journal Title
  
  Pacific Journal of Mathematics 223 no.1
  
  Pages: 141-158
- Data Source
  KAKENHI-PROJECT-16740093
[Journal Article] Perturnation theoretic entropy of the boundary actions of free groups2006
- Author(s)
  Rui Okayasu
- Journal Title
  
  Proceedings of the Aerican Mathematical Soceity 143・6
  
  Pages: 1771-1776
- Data Source
  KAKENHI-PROJECT-17540193
[Journal Article] Perturbation theoretic entropy of the boundary actions of free groups2006
- Author(s)
  Rui Okayasu
- Journal Title
  
  Proceedings of the Aerican Mathematical Soceit 134
  
  Pages: 1771-1776
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540193
[Journal Article] Perturbation theoretic entropy of the boundary actions of free groups2006
- Author(s)
  Rui Okayasu
- Journal Title
  
  Proceedings of the American Mathematical Society 134 no.6
  
  Pages: 1771-1776
- Data Source
  KAKENHI-PROJECT-16740093
[Journal Article] Gromov hyperbolic groups and the Maacev norm2006
- Author(s)
  Rui Okayasu
- Journal Title
  
  Pacific Journal of Mathematics 223 no. 1
  
  Pages: 141-158
- Data Source
  KAKENHI-PROJECT-16740093
[Journal Article] Gromov hyoerbolic groups and the Macaev norm2006
- Author(s)
  Rui Okayasu
- Journal Title
  
  Pacific Journal of Mathematics 223・1
  
  Pages: 141-157
- Data Source
  KAKENHI-PROJECT-17540193
[Journal Article] Perturbation theoretic entropy of the boundary actions of free groups2006
- Author(s)
  Rui Okayasu
- Journal Title
  
  Proceecings of the American Mathematical Soceity 134・6
  
  Pages: 1771-1776
- Data Source
  KAKENHI-PROJECT-17540193
[Journal Article] Perturbation theoretic entropy of the boundary actions of free groups2006
- Author(s)
  Rui Okayasu
- Journal Title
  
  Proceedings of the American Mathematical Society 134 no. 6
  
  Pages: 1771-1776
- Data Source
  KAKENHI-PROJECT-16740093
[Journal Article] C*-algebras of associated with the fundamental groups of graphs of groups2005
- Author(s)
  Rui Okayasu
- Journal Title
  
  Mathematica Scandinavica 97 no.1
  
  Pages: 49-72
- Data Source
  KAKENHI-PROJECT-16740093
[Journal Article] C*-algebras associated with the fundamental graphs of groups2005
- Author(s)
  Rui Okayasu
- Journal Title
  
  Mathematica Scandinavica 97・1
  
  Pages: 49-72
- Data Source
  KAKENHI-PROJECT-17540193
[Journal Article] Relative entropy for abelian subalgebras
- Author(s)
  Rui Okayasu
- Journal Title
  
  Internat.J.Math. (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540209
[Journal Article] C*-algebras of associated with the fundamental groups of graphs of groups
- Author(s)
  Rui Okayasu
- Journal Title
  
  MATHEMATICA SCANDINAVICA
- Data Source
  KAKENHI-PROJECT-16740093
[Journal Article] The ratio set of the harmonic measure of a random walk on a hyperbolic group
- Author(s)
  Rui Okayasu
- Journal Title
  
  Israel Journal of Mathematics (未定)
- Data Source
  KAKENHI-PROJECT-16740093
[Journal Article] Perturbation theoretic entropy of the boundary actions of free groups
- Author(s)
  Rui Okayasu
- Journal Title
  
  Proceedings of the American Mathematical Society
- Data Source
  KAKENHI-PROJECT-16740093
[Journal Article] Relative entropy for abelian subalgebras
- Author(s)
  Rui Okayasu
- Journal Title
  
  International Journal of Mathematics (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740119
[Journal Article] Entropy for C^*-algebras with tracial rank zero
- Author(s)
  Rui Okayasu
- Journal Title
  
  Proceedings of the American Mathematical Society (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740119
[Presentation] Injectivite factors with trivial bicentralizer2021
- Author(s)
  Rui Okayasu
- Organizer
  日本数学会
- Data Source
  KAKENHI-PROJECT-17K05278
[Presentation] Haagerup approximation property for von Neumann algebras2016
- Author(s)
  Rui Okayasu
- Organizer
  Trimester Seminar
- Place of Presentation
  Hausdorff Research Institute for Mathematics
- Year and Date
  2016-06-21
- Data Source
  KAKENHI-PROJECT-25800065
[Presentation] Haagerup approximation property for von Neumann algebras2016
- Author(s)
  Rui Okayasu
- Organizer
  実函数論・関数解析学合同シンポジウム
- Place of Presentation
  首都大学東京
- Year and Date
  2016-09-01
- Data Source
  KAKENHI-PROJECT-25800065
[Presentation] Haagerup approximation property via bimodules2015
- Author(s)
  Rui Okayasu
- Organizer
  作用素論・作用素環論研究集会
- Place of Presentation
  ＫＫＲ妙高高原白樺荘
- Year and Date
  2015-10-24
- Invited
- Data Source
  KAKENHI-PROJECT-25800065
[Presentation] Haagerup approximation property via bimodules2015
- Author(s)
  Rui Okayasu
- Organizer
  日本数学会函数解析学分科会
- Place of Presentation
  京都産業大学
- Year and Date
  2015-09-13
- Data Source
  KAKENHI-PROJECT-25800065
[Presentation] Haagerup approximation property via bimodules2015
- Author(s)
  Rui Okayasu
- Organizer
  The International Conference on Non-commutative Geometry and K-Theory
- Place of Presentation
  中国・重慶
- Year and Date
  2015-12-18
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25800065
[Presentation] Free group C*-algebras associated with l_p2012
- Author(s)
  岡安類
- Organizer
  日本数学会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-21740119
[Presentation] Free group C*-algebras associated with l_p2012
- Author(s)
  岡安類
- Organizer
  GPOTS2012
- Place of Presentation
  University of Houston （アメリカ）
- Data Source
  KAKENHI-PROJECT-21740119
[Presentation] Free group C*-algebras associated with l_p2012
- Author(s)
  岡安類
- Organizer
  RIMS研究集会
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-21740119
[Presentation] Free group C*-algebras associated with l_p2012
- Author(s)
  岡安類
- Organizer
  Harmonic analysis, operator algebras and representations
- Place of Presentation
  CIRM（フランス）
- Data Source
  KAKENHI-PROJECT-21740119
[Presentation] Free group C*-algebras associated with l_p2012
- Author(s)
  岡安類
- Organizer
  Workshop on Semiprojective C*-Algebras
- Place of Presentation
  University of Copenhagen （デンマーク）
- Data Source
  KAKENHI-PROJECT-21740119
[Presentation] On the Toeplitz algebras of quasi-lattice ordered groups2011
- Author(s)
  岡安類
- Organizer
  研究集会「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-20540209
[Presentation] Tracial topological approximation entropy2011
- Author(s)
  岡安類
- Organizer
  Weekly seminar
- Place of Presentation
  Centre de Recerca Matematica (Spain)
- Data Source
  KAKENHI-PROJECT-20540209
[Presentation] Tracial topological approximation entropy2010
- Author(s)
  岡安類
- Organizer
  作用素論・作用素環論研究集会
- Place of Presentation
  東京理科大学森戸記念館
- Year and Date
  2010-11-15
- Data Source
  KAKENHI-PROJECT-20540209
[Presentation] Relative entropy for finite dimensional abelian subalgebras2008
- Author(s)
  岡安類
- Organizer
  日本数学会函数解析学分科会
- Place of Presentation
  東京工業大学
- Data Source
  KAKENHI-PROJECT-20540209
[Presentation] On the ratio set of the harmonic measure on the Gromov boundary of a hyperbolic gorup2007
- Author(s)
  Rui, Okayasu
- Organizer
  Discrete groups and operator algebras
- Place of Presentation
  RIMS in Kyoto
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540193
[Presentation] Perturbation theoretic entropy of boundary actions of free groups2005
- Author(s)
  Rui, Okayasu
- Organizer
  Conference in Japan Mathematical Soceity
- Place of Presentation
  Okayama University
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540193
[Presentation] Types of von Neumann algebras arising from boundary actions of hyperbolic groups2005
- Author(s)
  Rui, Okayasu
- Organizer
  Development in the theory of operator algebras
- Place of Presentation
  RIMS in Kyoto
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540193
[Presentation] Haagerup approximation property and positive cones associated with a von Neumann algebra
- Author(s)
  Rui Okayasu
- Organizer
  ICM Satellite Conference on Operator Algebras and Applications
- Place of Presentation
  Cheongpung, Korea
- Year and Date
  2014-08-08 – 2014-08-14
- Invited
- Data Source
  KAKENHI-PROJECT-25800065
[Presentation] Haagerup approximation property for arbitrary von Neumann algebras
- Author(s)
  岡安類
- Organizer
  日本数学会函数解析学分科会
- Place of Presentation
  学習院大学
- Data Source
  KAKENHI-PROJECT-25800065
[Presentation] Haagerup approximation property and positive cones associated with a von Neumann algebra
- Author(s)
  Rui Okayasu
- Organizer
  Workshop on Operator Spaces, Locally Compact Quantum Groups and Amenability
- Place of Presentation
  The Fields Institute, Canada
- Year and Date
  2014-05-26 – 2014-05-30
- Invited
- Data Source
  KAKENHI-PROJECT-25800065
[Presentation] Haagerup approximation property for von Neumann algebras
- Author(s)
  Rui Okayasu
- 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
- Year and Date
  2015-03-26 – 2015-03-27
- Invited
- Data Source
  KAKENHI-PROJECT-25800065
[Presentation] Haagerup approximation property and positive cones associated with a von Neumann algebra
- Author(s)
  Rui Okayasu
- Organizer
  日本数学会函数解析学分科会
- Place of Presentation
  広島大学
- Year and Date
  2014-09-25 – 2014-09-28
- Data Source
  KAKENHI-PROJECT-25800065
[Presentation] Haagerup approximation property for arbitrary von Neumann algebras
- Author(s)
  岡安類
- Organizer
  作用素論・作用素環論研究集会
- Place of Presentation
  お茶の水女子大学
- Invited
- Data Source
  KAKENHI-PROJECT-25800065

1. CHODA Marie (80030378)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. IZUMI Masaki (80232362)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. MATUI Hiroki (40345012)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. OZAWA Narutaka (60323466)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. TOMATSU Reiji (70447366)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. KIDA Yoshikata (90451517)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. KATAYAMA Yoshikazu (10093395)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. FUJII Masatoshi (10030462)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. 縄田紀夫 (90614040)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. 小沢登高

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

OKAYASU Rui 岡安 類

Research Projects

Research Products

Co-Researchers

Approximation property for operator algebras and its applicationPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

General study of operator algebras and discrete groupsPrincipal Investigator

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

Actions of discrete groups on operator algebras and their invariantsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Relative entropy for pairs of subalgebras and invariants arising from automorphisms

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

双曲的群の無限遠境界作用の作用素環論的研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] A note on injectivite factors with trivial bicentralizer2022

Author(s)

Journal Title

Data Source

[Journal Article] Haagerup approximation property via bimodules2017

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Haagerup approximation property via bimodules2017

Author(s)

Journal Title

DOI

NAID

Data Source

[Journal Article] Haagerup approximation property and positive cones associated with a von Neumann algebra2016

Author(s)

Journal Title

Data Source

[Journal Article] Generalisations of the Haagerup approximation property to arbitrary von Neumann algebras2014

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Relative entropy for abelian subalgebras2010

Author(s)

Journal Title

Data Source

[Journal Article] Relative entropy for abelian subalgebras2010

Author(s)

Journal Title

Data Source

[Journal Article] Entropy for C*-algebras with tracial rank zero2010

Author(s)

OKAYASU Rui 岡安類