The Tracial Class Property for Crossed Products by Finite Group Actions
We define the concept of tracial 𝒞-algebra of C*-algebras, which generalize the concept of local 𝒞-algebra of C*-algebras given by H. Osaka and N. C. Phillips. Let 𝒞 be any class of separable unital C*-algebras. Let A be an infinite dimensional simple unital tracial 𝒞-algebra with the (SP)-property,...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/745369 |
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| Summary: | We define the concept of tracial 𝒞-algebra of C*-algebras, which generalize the concept of local 𝒞-algebra of C*-algebras given by H. Osaka and N. C. Phillips. Let 𝒞 be any class of separable unital C*-algebras. Let A be an infinite dimensional simple unital tracial 𝒞-algebra with the (SP)-property, and let α:G→Aut(A) be an action of a finite group G on A which has the tracial Rokhlin property. Then A ×α G is a simple unital tracial 𝒞-algebra. |
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| ISSN: | 1085-3375 1687-0409 |