FINITE GROUP ACTIONS ON CERTAIN STABLY PROJECTIONLESS C*-ALGEBRAS WITH THE ROHLIN PROPERTY

摘要

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 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.