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arXiv 1905.094692019-05math.OA

Rohlin actions of finite groups on the Razak-Jacelon algebra

Norio Nawata

备注：: 19 pages. v2:we added references. arXiv admin note: text overlap with arXiv:1704.02414

英文摘要：

Let $A$ be a simple separable nuclear C$^*$-algebra with a unique tracial state and no unbounded traces, and let $α$ be a strongly outer action of a finite group $G$ on $A$. In this paper, we show that $α\otimes \mathrm{id}$ on $A\otimes\mathcal{W}$ has the Rohlin property, where $\mathcal{W}$ is the Razak-Jacelon algebra. Combing this result with the recent classification results and our previous result, we see that such actions are unique up to conjugacy.

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