English

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

Operator Algebras 2009-11-11 v2

Abstract

We show the uniqueness of minimal actions of a compact Kac algebra with amenable dual on the AFD factor of type II1_1. 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.

Keywords

Cite

@article{arxiv.math/0604348,
  title  = {Classification of minimal actions of a compact Kac algebra with amenable dual},
  author = {Toshihiko Masuda and Reiji Tomatsu},
  journal= {arXiv preprint arXiv:math/0604348},
  year   = {2009}
}

Comments

68 pages, Introduction rewritten; minor corrections