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May 27, 20240 citationsOpen Access

Rokhlin Dimension and Inductive Limit Actions on AF-algebras

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MSM SureshkumarPVPrahlad 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 Aut (A) is approximately inner and has the Rokhlin property, we conclude that A _ Z is an AT-algebra.

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Cite This Study

Sureshkumar et al. (2024) studied this question.

synapsesocial.com/papers/68e68593b6db64358760dfaahttps://doi.org/10.48550/arxiv.2405.17380
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