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Morita Equivalence of Brandt Semigroup Algebras
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-10
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Maysami Sadr, Maysam. 2012. Morita Equivalence of Brandt Semigroup Algebras. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-459925
Modern Language Association (MLA)
Maysami Sadr, Maysam. Morita Equivalence of Brandt Semigroup Algebras. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-7.
https://search.emarefa.net/detail/BIM-459925
American Medical Association (AMA)
Maysami Sadr, Maysam. Morita Equivalence of Brandt Semigroup Algebras. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-459925
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-459925