A Rohlin Type Theorem for Automorphisms of Certain Purely Infinite $C^{\ast}$-Algebras

Abstract

We show a noncommutative Rohlin type theorem for automorphisms of a certain class of purely infinite simple $C^{\ast}$-algebras. This class consists of the purely infinite unital simple $C^{\ast}$-algebras which are in the bootstrap category ${\cal N}$ and have trivial $K_{1}$-groups.