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2011 Fiscal Year Final Research Report

Research of operator algebraic quantum groups

Research Project

  • PDF
Project/Area Number 21740112
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Global analysis
Research InstitutionHokkaido University (2011)
Tokyo University of Science (2009-2010)

Principal Investigator

TOMATSU Reiji  北海道大学, 大学院・理学院研究院, 准教授 (70447366)

Project Period (FY) 2009 – 2011
Keywordsvon Neumann環 / 量子群 / 作用
Research Abstract

I jointly work with A. Skalski and F. Uwe on a compact quantum group whose Haar state admits a non-trivial square root. Also, with Toshihiko Masuda(Kyushu university), I studied the action of the additive real group on a von Neumann algebra. We especially obtain a classification of Rohlin flows up to strong cocycle conjugacy.

  • Research Products

    (6 results)

All 2012 2010 2009 Other

All Journal Article (1 results) Presentation (4 results) Remarks (1 results)

  • [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

  • [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
  • [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
  • [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
  • [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
  • [Remarks]

    • URL

      http://www.math.sci.hokudai.ac.jp/~tomatsu/index.html

URL: 

Published: 2013-07-31  

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