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arXiv · 0704.3651

Crossed products by finite group actions with the Rokhlin property

Hiroyuki Osaka·N. Christopher Phillips
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Abstract

We prove that a number of classes of separable unital C*-algebras are closed under crossed products by finite group actions with the Rokhlin property, including: (1) AI algebras, AT algebras, and related classes characterized by direct limit decompositions using semiprojective building blocks. (2) Simple unital AH algebras with slow dimension growth and real rank zero. (3) C*-algebras with real rank zero or stable rank one. (4) C*-algebras whose quotients all satisfy the Universal Coefficient Theorem. Along the way, we give a systematic treatment of the derivation of direct limit decompositions from local approximation conditions by homomorphic images which are not necessarily injective.

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Hiroyuki Osaka, N. Christopher Phillips. 2009-02-06. Crossed products by finite group actions with the Rokhlin property. https://arxiv.org/abs/0704.3651

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