the tracial class property for crossed products by finite group actions

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ID: 236941
2012
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Abstract
We define the concept of tracial ๐’ž-algebra of C*-algebras, which generalize the concept of local ๐’ž-algebra of C*-algebras given by H. Osaka and N. C. Phillips. Let ๐’ž be any class of separable unital C*-algebras. Let A be an infinite dimensional simple unital tracial ๐’ž-algebra with the (SP)-property, and let ฮฑ:Gโ†’Aut(A) be an action of a finite group G on A which has the tracial Rokhlin property. Then Aโ€‰โ€‰ร—ฮฑโ€‰โ€‰G is a simple unital tracial ๐’ž-algebra.
Reference Key
yang2012abstractthe Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Xinbing Yang;Xiaochun Fang
Journal science and technology of advanced materials
Year 2012
DOI
10.1155/2012/745369
URL
http://dx.doi.org/10.1155/2012/745369
Keywords
mathematics

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