JournalsprimsVol. 36, No. 5pp. 641–657

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
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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.

Cite this article

Keiko Kawamuro, A Rohlin Property for One-parameter Automorphism Groups of the Hyperfinite II<sub>1</sub> Factor. Publ. Res. Inst. Math. Sci. 36 (2000), no. 5, pp. 641–657

DOI 10.2977/PRIMS/1195142813