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2010 Fiscal Year Final Research Report

A two-way study of operator algebras and discrete groups

Research Project

  • PDF
Project/Area Number 20684004
Research Category

Grant-in-Aid for Young Scientists (A)

Allocation TypeSingle-year Grants
Research Field Global analysis
Research InstitutionThe University of Tokyo (2008-2009, 2011)
Kyoto University (2010)

Principal Investigator

OZAWA Narutaka  京都大学, 数理解析研究所, 准教授 (60323466)

Project Period (FY) 2008 – 2010
Keywords作用素環 / 離散群 / 関数解析
Research Abstract

Ozawa studied the structure of von Neumann factors arising from discrete groups and their actions on probability spaces, and contributed to the classification theory of von Neumann factors. He also studied analytic approximation properties of discrete groups and applied them to the study of von Neumann factors and to the embedding problem of graphs into metric spaces.

  • Research Products

    (31 results)

All 2012 2011 2010 2009 2008 Other

All Journal Article (8 results) (of which Peer Reviewed: 8 results) Presentation (20 results) Book (1 results) Remarks (2 results)

  • [Journal Article] Examples of groups which are not weakly amenable2012

    • Author(s)
      N. Ozawa
    • Journal Title

      Kyoto J. Math.

      Volume: 52 Pages: 333-344

    • Peer Reviewed
  • [Journal Article] Quasi-homomorphism rigidity with noncom mutative targets2011

    • Author(s)
      N. Ozawa
    • Journal Title

      J. Reine Angew. Math.

      Volume: 655 Pages: 89-104

    • Peer Reviewed
  • [Journal Article] The Dixmier problem, lamplighters and Burnside groups.2010

    • Author(s)
      N. Ozawa and N. Monod
    • Journal Title

      J. Funct. Anal.

      Volume: 258 Pages: 255-259

    • Peer Reviewed
  • [Journal Article] On a class of II_1 factors with at most one Cartan subalgebra II.2010

    • Author(s)
      N. Ozawa and S. Popa
    • Journal Title

      Amer. J. Math.

      Volume: 132 Pages: 841-866

    • Peer Reviewed
  • [Journal Article] On a class of II_1 factors with at most one Cartan subalgebra.2010

    • Author(s)
      N. Ozawa and S. Popa
    • Journal Title

      Ann. of Math.

      Volume: 172 Pages: 713-749

    • Peer Reviewed
  • [Journal Article] An example of a solid von Neumann algebra2009

    • Author(s)
      N. Ozawa
    • Journal Title

      Hokkaido Math. J.

      Volume: 38 Pages: 557-561

    • Peer Reviewed
  • [Journal Article] Weak amenability of hyperbolic groups2008

    • Author(s)
      N. Ozawa
    • Journal Title

      Groups Geom. Dyn.

      Volume: 2 Pages: 271-280

    • Peer Reviewed
  • [Journal Article] On Ulam stability

    • Author(s)
      M. Burger, N. Ozawa and A. Thom
    • Journal Title

      Israel J. Math.

    • Peer Reviewed
  • [Presentation] ME embeddings for groups2011

    • Author(s)
      N. Ozawa
    • Organizer
      Embeddings workshop, Isaac Newton Institute
    • Year and Date
      2011-01-14
  • [Presentation] Closable derivations on finite von Neumann algebras2010

    • Author(s)
      N. Ozawa
    • Organizer
      Noncommutative Geometry and Operator Algebras
    • Place of Presentation
      Vanderbilt University
    • Year and Date
      20100516-19
  • [Presentation] Quasi-homomorphism rigidity with noncommutative targets2010

    • Author(s)
      N. Ozawa
    • Organizer
      Satellite Conference on Operator Algebras to ICM 2010
    • Place of Presentation
      IMSc(Chennai)
    • Year and Date
      2010-10-10
  • [Presentation] Quasi-homomorphism rigidity with noncommutative targets2010

    • Author(s)
      N. Ozawa
    • Organizer
      AMS Fall Western Section Meeting
    • Place of Presentation
      UCLA
    • Year and Date
      2010-10-09
  • [Presentation] Quasi-homomorphism rigidity with noncommutative targets2010

    • Author(s)
      N. Ozawa
    • Organizer
      Actions and Invariants of Residually Finite Groups : Asymptotic Methods, Oberwolfach
    • Year and Date
      2010-09-09
  • [Presentation] Quasi-homomorphism rigidity with noncommutative targets2010

    • Author(s)
      N. Ozawa
    • Organizer
      Recent Developments in Operator Algebras
    • Place of Presentation
      University of Tokyo
    • Year and Date
      2010-06-25
  • [Presentation] Dixmier's Similarity Problem2010

    • Author(s)
      N. Ozawa
    • Organizer
      KOTAC 2010
    • Place of Presentation
      Incheon
    • Year and Date
      2010-06-17
  • [Presentation] Quasi-homomorphism rigidity with noncommutative targets2010

    • Author(s)
      N. Ozawa
    • Organizer
      Danish-Norwegian Operator Algebra Seminar
    • Place of Presentation
      University of Copenhagen
    • Year and Date
      2010-04-09
  • [Presentation] Neumann algebras and ergodic theory of group actions2009

    • Author(s)
      N. Ozawa
    • Organizer
      Ergodic Theory of Group Actions
    • Place of Presentation
      Gottingen
    • Year and Date
      20090817-20
  • [Presentation] Hyperlinearity, sofic groups and applications to group theory2009

    • Author(s)
      N. Ozawa
    • Organizer
      Operator Spaces and Approximation Properties of Discrete Groups
    • Place of Presentation
      Texas A & M University
    • Year and Date
      20090803-05
  • [Presentation] Von Neumann algebras and ergodic theory of group actions2009

    • Author(s)
      N. Ozawa
    • Organizer
      von Neumann algebras and Ergodic theory and Geometric Group theory
    • Place of Presentation
      IMSc(Chennai)
    • Year and Date
      20090202-13
  • [Presentation] Dixmier's Similarity Problem2009

    • Author(s)
      N. Ozawa
    • Organizer
      Operators and Operator Algebras
    • Place of Presentation
      University of Edinburgh
    • Year and Date
      2009-12-11
  • [Presentation] Quasi-homomorphism rigidity with noncommutative targets2009

    • Author(s)
      N. Ozawa
    • Organizer
      Rigidity in cohomology, K-theory, geometry and ergodic theory
    • Place of Presentation
      HIM(Bonn)
    • Year and Date
      2009-11-23
  • [Presentation] Dixmier's Similarity Problem2009

    • Author(s)
      N. Ozawa
    • Organizer
      Geometry and Rigidity of Groups
    • Place of Presentation
      Munster
    • Year and Date
      2009-08-28
  • [Presentation] Dixmier's Similarity Problem2009

    • Author(s)
      N. Ozawa
    • Organizer
      Noncommutative Lp spaces, operator spaces and applications
    • Place of Presentation
      CIRM
    • Year and Date
      2009-06-08
  • [Presentation] On a class of II_1 factors with at most one Cartan subalgebra2009

    • Author(s)
      N. Ozawa
    • Organizer
      von Neumann Algebras and Ergodic Theory
    • Place of Presentation
      UCLA
    • Year and Date
      2009-03-18
  • [Presentation] On a class of II_1 factors with at most one Cartan subalgebra2008

    • Author(s)
      N. Ozawa
    • Organizer
      von Neumann Algebras and Ergodic Theory of Group Actions
    • Place of Presentation
      Oberwolfach
    • Year and Date
      20081026-1101
  • [Presentation] On a class of II_1 factors with at most one Cartan subalgebra2008

    • Author(s)
      N. Ozawa
    • Organizer
      Analytic Properties of Infinite Groups
    • Place of Presentation
      Geneve
    • Year and Date
      20080825-29
  • [Presentation] On a class of II_1 factors with at most one Cartan subalgebra2008

    • Author(s)
      N. Ozawa
    • Organizer
      Non-commutative Harmonic Analysis with Applications to Probability
    • Place of Presentation
      B. dlewo(Poland)
    • Year and Date
      20080817-23
  • [Presentation] On a class of II_1 factors with at most one Cartan subalgebra2008

    • Author(s)
      N. Ozawa
    • Organizer
      Harmonic analysis, operator algebras and representations
    • Place of Presentation
      CIRM
    • Year and Date
      2008-11-10
  • [Book] C-algebras and finite-dimensional approximations Graduate Studies in Mathematics2008

    • Author(s)
      N. Brown and N. Ozawa
    • Total Pages
      509
    • Publisher
      American Mathematical Society
  • [Remarks] ウェブサイト

    • URL

      http://www.kurims.kyoto-u.ac.jp/~narutaka/

  • [Remarks] ウェブサイトでは自分の研究成果、研究紹介のほか、参加した研究集会の報告、講義録などを公開している。

URL: 

Published: 2013-07-31  

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