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A rohlin property for one-parameter automorphism groups of the hyperfinite H1 factor
Journal article   Open access  Peer reviewed

A rohlin property for one-parameter automorphism groups of the hyperfinite H1 factor

Keiko Kawamuro
Publications of the Research Institute for Mathematical Sciences, Vol.36(5), pp.641-657
2000
DOI: 10.2977/prims/1195142813
url
https://doi.org/10.2977/prims/1195142813View
Published (Version of record) Open Access

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.

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