# A Rohlin Property for One-parameter Automorphism Groups of the Hyperfinite $II_{1}$ Factor

### Keiko Kawamuro

University of Tokyo, Japan

## Abstract

We first define a Rohlin property for one-parameter automorphism groups of the hyperfinite type $II_{1}$ 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 $II_{1}$ Factor. Publ. Res. Inst. Math. Sci. 36 (2000), no. 5, pp. 641–657

DOI 10.2977/PRIMS/1195142813