International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 280636, 7 pages
Research Article

Morita Equivalence of Brandt Semigroup Algebras

Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS of Zanjan), P.O. Box 45195-1159, Zanjan 45137-66731, Iran

Received 20 March 2012; Accepted 7 May 2012

Academic Editor: Henryk Hudzik

Copyright © 2012 Maysam Maysami Sadr. 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.


We show that Banach semigroup algebras of any two Brandt semigroups over a fixed group are Morita equivalence with respect to the Morita theory of self-induced Banach algebras introduced by Grønbæk. As applications, we show that the bounded Hochschild (co)homology groups of Brandt semigroup algebras over amenable groups are trivial and prove that the notion of approximate amenability is not Morita invariant.