The Tracial Class Property for Crossed Products by Finite Group Actions

Xinbing Yang and Xiaochun Fang

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: 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.

Date: 2012
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2012/745369

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:745369

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().