Classification of minimal actions of a compact kac algebra with amenable dual

Toshihiko Masuda, Reiji Tomatsu

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

We show the uniqueness of minimal actions of a compact Kac algebra with amenable dual on the AFD factor of type II1. This particularly implies the uniqueness of minimal actions of a compact group. Our main tools are a Rohlin type theorem, the 2-cohomology vanishing theorem, and the Evans-Kishimoto type intertwining argument.

Original languageEnglish
Pages (from-to)487-551
Number of pages65
JournalCommunications in Mathematical Physics
Volume274
Issue number2
DOIs
Publication statusPublished - Sep 1 2007

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uniqueness
algebra
Uniqueness
theorems
Algebra
Vanishing Theorems
homology
Compact Group
Cohomology
Imply
Theorem

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Classification of minimal actions of a compact kac algebra with amenable dual. / Masuda, Toshihiko; Tomatsu, Reiji.

In: Communications in Mathematical Physics, Vol. 274, No. 2, 01.09.2007, p. 487-551.

Research output: Contribution to journalArticle

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