Abstract and Applied Analysis
Volume 2011 (2011), Article ID 503679, 10 pages
http://dx.doi.org/10.1155/2011/503679
Research Article

Certain -Monoid Properties Preserved by Tracial Approximation

Qingzhai Fan

Department of Mathematics, Shanghai Maritime University, 1550 Haigang Avenue New Harbor City, Shanghai 201306, China

Received 31 August 2011; Revised 16 October 2011; Accepted 30 October 2011

Academic Editor: Giovanni Galdi

Copyright © 2011 Qingzhai Fan. 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 show that the following -monoid properties of -algebras in the class are inherited by simple unital -algebras in the class : (1) pseudocancellation property, (2) weakly divisible, (3) strongly separative, (4) separative, and (5) preminimal.