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The Tracial Class Property for Crossed Products by Finite Group Actions

Xinbing Yang and Xiaochun Fang

Abstract and Applied Analysis, 2012, vol. 2012, 1-10

Abstract:

We define the concept of tracial -algebra of -algebras, which generalize the concept of local -algebra of -algebras given by H. Osaka and N. C. Phillips. Let be any class of separable unital -algebras. Let be an infinite dimensional simple unital tracial -algebra with the (SP)-property, and let be an action of a finite group on which has the tracial Rokhlin property. Then is a simple unital tracial -algebra.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:745369

DOI: 10.1155/2012/745369

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