Noncompact unimodular groups with purely atomic Plancherel measures

Mauceri, Giancarlo; Picardello, Massimo A.

doi:10.1090/S0002-9939-1980-0548088-9

Noncompact unimodular groups with purely atomic Plancherel measures
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by Giancarlo Mauceri and Massimo A. Picardello PDF

Proc. Amer. Math. Soc. 78 (1980), 77-84 Request permission

Abstract:

A noncompact unimodular group whose regular representation decomposes as a direct sum of irreducible subrepresentations was constructed by J. M. G. Fell. In the present paper, groups of this kind are studied, and several new examples are provided to settle open structure problems.

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