ROHLIN FLOWS ON THE CUNTZ ALGEBRA ${\mathcal O}_2$

Abstract

We prove that a quasi-free flow on [Formula: see text] has the Rohlin property if and only if the associated crossed product is purely infinite and simple and that the quasi-free flows on [Formula: see text] with the Rohlin property are cocycle conjugate with each other. The latter result also holds for any Cuntz algebra [Formula: see text] with m < ∞. We also give some remarks on Rohlin flows on a unital separable nuclear purely infinite simple C*-algebra.