JournalsprimsVol. 36 , No. 5DOI 10.2977/prims/1195142813

A Rohlin Property for One-parameter Automorphism Groups of the Hyperfinite II<sub>1</sub> Factor

  • Keiko Kawamuro

    University of Tokyo, Japan
A Rohlin Property for One-parameter Automorphism Groups of the Hyperfinite II<sub>1</sub> Factor cover

Abstract

We first define a Rohlin property for one-parameter automorphism groups of the hyperfinite type II1 factor as an analogue of Kishimoto's definition for one-parameter automorphism groups of unital simple C*-algebras.

Secondly, we prove equivalence between the Rohlin property and the cohomology vanishing in an appropriate central sequence algebra, which is a variation of Kishimoto's theorem in C*-algebra theory.