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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Cross products of strongly Morita equivalent $C^{\ast }$-algebras
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by Raúl E. Curto, Paul S. Muhly and Dana P. Williams PDF
Proc. Amer. Math. Soc. 90 (1984), 528-530 Request permission

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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Additional Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 90 (1984), 528-530
  • MSC: Primary 46L40; Secondary 46L55, 46M15
  • DOI: https://doi.org/10.1090/S0002-9939-1984-0733400-1
  • MathSciNet review: 733400