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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| Format: | Article |
| Language: | English |
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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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| author | Xinbing Yang Xiaochun Fang |
| author_facet | Xinbing Yang Xiaochun Fang |
| author_sort | Xinbing Yang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b3b1d75cd15942f789fe542a8472de2f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b3b1d75cd15942f789fe542a8472de2f2025-02-03T06:07:45ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/745369745369The Tracial Class Property for Crossed Products by Finite Group ActionsXinbing Yang0Xiaochun Fang1Department of Mathematics, Zhejiang Normal University, Zhejiang, Jinhua 321004, ChinaDepartment of Mathematics, Tongji University, Shanghai 200092, ChinaWe 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.http://dx.doi.org/10.1155/2012/745369 |
| spellingShingle | Xinbing Yang Xiaochun Fang The Tracial Class Property for Crossed Products by Finite Group Actions Abstract and Applied Analysis |
| title | The Tracial Class Property for Crossed Products by Finite Group Actions |
| title_full | The Tracial Class Property for Crossed Products by Finite Group Actions |
| title_fullStr | The Tracial Class Property for Crossed Products by Finite Group Actions |
| title_full_unstemmed | The Tracial Class Property for Crossed Products by Finite Group Actions |
| title_short | The Tracial Class Property for Crossed Products by Finite Group Actions |
| title_sort | tracial class property for crossed products by finite group actions |
| url | http://dx.doi.org/10.1155/2012/745369 |
| work_keys_str_mv | AT xinbingyang thetracialclasspropertyforcrossedproductsbyfinitegroupactions AT xiaochunfang thetracialclasspropertyforcrossedproductsbyfinitegroupactions AT xinbingyang tracialclasspropertyforcrossedproductsbyfinitegroupactions AT xiaochunfang tracialclasspropertyforcrossedproductsbyfinitegroupactions |