Rokhlin dimension of Zᵐ actions on simple C*-algebras
Liao, Hung-Chang
Original · EN
We study Rokhlin dimension of Zᵐ-actions on simple separable stably finite nuclear C*-algebras. We prove that under suitable assumptions, a strongly outer Zᵐ-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 Zᵐ-Bernoulli action on the infinite tensor product has finite Rokhlin dimension.
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