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arXiv · 1608.01051

Rokhlin dimension of Z^m actions on simple C*-algebras

Hung-Chang Liao
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Abstract

We study Rokhlin dimension of Z^m-actions on simple separable stably finite nuclear C*-algebras. We prove that under suitable assumptions, a strongly outer Z^m-action has finite Rokhlin dimension. This extends the known result for automorphisms. As an application, we show that for a large class of C*-algebras, the Z^m-Bernoulli action on the infinite tensor product has finite Rokhlin dimension.

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Hung-Chang Liao. 2016-08-03. Rokhlin dimension of Z^m actions on simple C*-algebras. https://arxiv.org/abs/1608.01051

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