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arXiv · 2405.17380

Rokhlin Dimension and Inductive Limit Actions on AF-algebras

Sureshkumar M·Prahlad Vaidyanathan
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Abstract

Given a separable, AF-algebra A and an inductive limit action on A of a finitely generated abelian group with finite Rokhlin dimension with commuting towers, we give a local description of the associated crossed product C*-algebra. In particular, when A is unital and $\alpha \in Aut(A)$ is approximately inner and has the Rokhlin property, we conclude that $A \rtimes_{\alpha} \mathbb{Z}$ is an A$\mathbb{T}$-algebra.

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Sureshkumar M, Prahlad Vaidyanathan. 2024-05-27. Rokhlin Dimension and Inductive Limit Actions on AF-algebras. https://arxiv.org/abs/2405.17380

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