Rohlin Actions of Finite Groups on the Razak–Jacelon Algebra
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Abstract Let $A$ be a simple separable nuclear C$^*$-algebra with a unique tracial state and no unbounded traces, and let $\alpha $ be a strongly outer action of a finite group $G$ on $A$. In this paper, we show that $\alpha \otimes \textrm{id}$ 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.
1969 ◽
Vol 10
(3-4)
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pp. 359-362
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2021 ◽
Vol 58
(2)
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pp. 147-156
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1997 ◽
Vol 40
(2)
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pp. 243-246
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2008 ◽
Vol 07
(06)
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pp. 735-748
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1986 ◽
Vol 40
(2)
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pp. 253-260
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