Vol. 82, No. 2, 1979

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Weak Frobenius reciprocity and compactness conditions in topological groups

Rolf Wim Henrichs

Vol. 82 (1979), No. 2, 387–406
Abstract

We study weak containment relations between unitary representations of a locally compact group G and closed subgroups H. We prove that certain weak Frobenius properties and compactness conditions are equivalent. Moreover, for amenable G having small invariant neighborhoods at e weak Frobenius reciprocity (FP) defined by Fell holds for the pair (G,H) if every element of H has relatively compact conjugacy class in G.

Mathematical Subject Classification 2000
Primary: 22D10
Secondary: 22D30
Milestones
Received: 1 December 1977
Revised: 16 October 1978
Published: 1 June 1979
Authors
Rolf Wim Henrichs