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Weak Frobenius reciprocity and compactness conditions in topological groups

Weak Frobenius reciprocity and compactness conditions in topological groups

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) …