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OKAYASU Rui  岡安 類

ORCIDConnect your ORCID iD *help
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
  • Research Projects

    (7 results)
  • Research Products

    (53 results)
  • Co-Researchers

    (13 People)
  •  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

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