Cross products of strongly Morita equivalent 𝐶*-algebras

Curto, Raúl E.; Muhly, Paul S.; Williams, Dana P.

doi:10.1090/S0002-9939-1984-0733400-1

Cross products of strongly Morita equivalent $C^{\ast }$-algebras
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by Raúl E. Curto, Paul S. Muhly and Dana P. Williams

Proc. Amer. Math. Soc. 90 (1984), 528-530

DOI: https://doi.org/10.1090/S0002-9939-1984-0733400-1

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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.

References

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Applications of strong Morita equivalence to transformation group

-algebras