Finite group actions on certain stably projectionless C*-algebras with the Rohlin property

Abstract

We introduce the Rohlin property and approximate representability for finite group actions on stably projectionless C ∗ ^* -algebras and study their basic properties. We give some examples of finite group actions on the Razak-Jacelon algebra W \mathcal {W} and show some classification results of these actions. This study is based on the work of Izumi, Robert’s classification theorem and Kirchberg’s central sequence C ∗ ^* -algebras.