Strongly outer product type actions

Michael Y. Sun

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arXiv · 1403.5357

Strongly outer product type actions

Michael Y. Sun

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Abstract

We show that for any countable discrete maximally almost periodic group $G$ and any UHF algebra $A$, there exists a strongly outer product type action $α$ of $G$ on $A$. We also show the existence of countable discrete almost abelian group actions with a certain Rokhlin property on the universal UHF algebra. Consequently we get many examples of unital separable simple nuclear $C^*$-algebras with tracial rank zero and a unique tracial state appearing as crossed products.

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Michael Y. Sun. 2014-08-30. Strongly outer product type actions. https://arxiv.org/abs/1403.5357

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