Kernels of representations and group extensions

Schochetman, I.

doi:10.1090/S0002-9939-1972-0320222-0

Kernels of representations and group extensions
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Proc. Amer. Math. Soc. 36 (1972), 564-570 Request permission

Abstract:

We first determine the kernels of those unitary representations of a locally compact group which are obtained by integrating, inducing and tensoring. We then describe a broad class of group extensions for which the previous results can be used to find (1) the kernel of any representation and (2) necessary and sufficient conditions for these extensions to be maximally almost periodic.

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