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

Nawata, Norio

doi:10.1090/tran/6631

Finite group actions on certain stably projectionless C$^*$-algebras with the Rohlin property
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Trans. Amer. Math. Soc. 368 (2016), 471-493 Request permission

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 $\mathcal {W}$ 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.

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