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The Tracial Class Property for Crossed Products by Finite Group Actions

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  • Xinbing Yang
  • Xiaochun Fang

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.

Suggested Citation

  • Xinbing Yang & Xiaochun Fang, 2012. "The Tracial Class Property for Crossed Products by Finite Group Actions," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-10, November.
    • Handle: RePEc:hin:jnlaaa:745369
    DOI: 10.1155/2012/745369
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