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2009 Fiscal Year Self-evaluation Report

Reserch of automorphism groups and group actions on The theory of operator algebras

Research Project

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Project/Area Number 19740088
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Global analysis
Research InstitutionKyushu University

Principal Investigator

MASUDA Toshihiko  Kyushu University, 大学院・数理学研究院, 准教授 (60314978)

Project Period (FY) 2007 – 2010
Keywords単射的因子環 / 自己同型群 / 群作用 / 分類
Research Abstract

作用素環論において、自己同型群や群作用の研究は中心的な話題の一つである。離散群の作用の解析は様々な進展があったが、連続群についてはまだ不明な部分が多い。特にコンパクト群の場合は離散群の作用の解析の手法が適用できると思われるので、コンパクト群の作用の分類を行う。

  • Research Products

    (8 results)

All 2010 2009 2008 2007

All Journal Article (5 results) (of which Peer Reviewed: 3 results) Presentation (3 results)

  • [Journal Article] Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III2010

    • Author(s)
      Toshihiko Masuda, Reiji Tomatsu
    • Journal Title

      Journal of Functional Analysis 258

      Pages: 1965-2025

    • Peer Reviewed
  • [Journal Article] Approximate innerness and central triviality of endomorphisms2009

    • Author(s)
      Toshihiko Masuda, Reiji Tomatsu
    • Journal Title

      Advance in Mathematics 220

      Pages: 1075-1134

    • Peer Reviewed
  • [Journal Article] Classification of actions of duals of finite groups on the AFD factor of type II_12008

    • Author(s)
      Toshihiko Masuda
    • Journal Title

      Journal of Operator Theory 60

      Pages: 273-300

    • Peer Reviewed
  • [Journal Article] Classification of minimal actions of a compact Kac algebra with amenable dual2007

    • Author(s)
      Toshihiko Masuda, Reiji Tomatsu
    • Journal Title

      Commucations in Mathematical Physics 274

      Pages: 487-551

  • [Journal Article] ishimoto type argument for actions of discrete amenable groups on McDuff factors, Mathematica.2007

    • Author(s)
      Toshihiko Masuda
    • Journal Title

      Scandinavia 101

      Pages: 48-64

  • [Presentation] Evans-岸本型のintertwining argumentの一般化と離散従順群の単射的因子環への作用の分類2009

    • Author(s)
      増田俊彦
    • Organizer
      日本数学会函数解析分科会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-25
  • [Presentation] Evans-Kishimoto intertwining argumentの一般化による単射的因子環への離散従順群の作用の分類2009

    • Author(s)
      増田俊彦
    • Organizer
      研究集会「作用素環論とその関連分野の研究」
    • Place of Presentation
      京都大学
    • Year and Date
      2009-09-03
  • [Presentation] Classification of minimal actions of a compact Kac algebra with amenable dual2007

    • Author(s)
      Toshihiko Masuda
    • Organizer
      Operator algebra seminars
    • Place of Presentation
      Fields institute
    • Year and Date
      2007-11-29

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Published: 2011-06-18   Modified: 2016-04-21  

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