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The von Neumann kernel of a locally compact group

Part of: Locally compact groups and their algebras

Published online by Cambridge University Press:  09 April 2009

Sheldon Rothman  and
Helen Strassberg
Sheldon Rothman
Affiliation:
Department of Mathematics C.W. Post Center of Long Island UniversityGreenvale, New York 11548, U.S.A.
Helen Strassberg
Affiliation:
Division of Mathematics and Science St. John's UniversityStaten Island, New York 10301, U.S.A.
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Abstract

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For a locally compact group G, the von Neumann kernel, n(G), is the intersection of the kernels of the finite dimensional (continuous) unitary representations of G. In this paper we calculate n(G) explicitly for a general connected locally compact group and for certain classes of non-connected groups.

MSC classification

Secondary: 22D10: Unitary representations of locally compact groups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 36 , Issue 2 , April 1984 , pp. 279 - 286
Copyright
Copyright © Australian Mathematical Society 1984

References

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