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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On induced covariant systems


Author: Siegfried Echterhoff
Journal: Proc. Amer. Math. Soc. 108 (1990), 703-706
MSC: Primary 46L55; Secondary 22D30
Erratum: Proc. Amer. Math. Soc. 116 (1992), null.
MathSciNet review: 994776
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Abstract: For a closed subgroup $ H$ of a locally compact group $ G$, it is shown that a covariant system $ (G,A)$ is induced from a covariant system $ (H,D)$ if (and only if) there exists a continuous $ G$-equivariant map $ \varphi :\Pr {\text{im}}A \to G/H$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1990-0994776-6
PII: S 0002-9939(1990)0994776-6
Keywords: Induced covariant system, $ {C^*}$-algebra, locally compact group, Mackey-machine
Article copyright: © Copyright 1990 American Mathematical Society