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Proceedings of the American Mathematical Society

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A theorem on the restriction of type I representations of a group to certain of its subgroups


Author: Robert R. Kallman
Journal: Proc. Amer. Math. Soc. 40 (1973), 291-296
MSC: Primary 22D10; Secondary 46L10
DOI: https://doi.org/10.1090/S0002-9939-1973-0316630-5
MathSciNet review: 0316630
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Abstract: Theorem. Let $ G$ be a separable locally compact group and $ H$ a closed subgroup such that $ G/H$ is finite. Let $ \pi $ be a Type I representation of $ G$. Then $ \pi \vert H$ is Type I.


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DOI: https://doi.org/10.1090/S0002-9939-1973-0316630-5
Keywords: Operator theory, von Neumann algebras, group representations
Article copyright: © Copyright 1973 American Mathematical Society