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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Cross products of strongly Morita equivalent $ C\sp{\ast} $-algebras


Authors: Raúl E. Curto, Paul S. Muhly and Dana P. Williams
Journal: Proc. Amer. Math. Soc. 90 (1984), 528-530
MSC: Primary 46L40; Secondary 46L55, 46M15
MathSciNet review: 733400
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Abstract: Suppose that a locally compact group $ G$ acts on strongly Morita equivalent $ {C^ * }$-algebras $ A$ and $ B$ and let $ A \rtimes G$ and $ B \rtimes G$ denote the corresponding crossed products. We present conditions which imply that $ A \rtimes G$ and $ B \rtimes G$ are also strongly Morita equivalent and we apply our result to improve upon known theorems concerning strong Morita equivalence between certain transformation group $ {C^ * }$-algebras.


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DOI: https://doi.org/10.1090/S0002-9939-1984-0733400-1
Article copyright: © Copyright 1984 American Mathematical Society