- About this Journal
- Abstracting and Indexing
- Aims and Scope
- Annual Issues
- Article Processing Charges
- Articles in Press
- Author Guidelines
- Bibliographic Information
- Citations to this Journal
- Contact Information
- Editorial Board
- Editorial Workflow
- Free eTOC Alerts
- Publication Ethics
- Reviewers Acknowledgment
- Submit a Manuscript
- Subscription Information
- Table of Contents
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 745369, 10 pages
doi:10.1155/2012/745369
The Tracial Class Property for Crossed Products by Finite Group Actions
1Department of Mathematics, Zhejiang Normal University, Zhejiang, Jinhua 321004, China
2Department of Mathematics, Tongji University, Shanghai 200092, China
Received 11 September 2012; Accepted 14 October 2012
Academic Editor: Toka Diagana
Copyright © 2012 Xinbing Yang and Xiaochun Fang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.