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Proceedings of the American Mathematical Society

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Noncompact unimodular groups with purely atomic Plancherel measures


Authors: Giancarlo Mauceri and Massimo A. Picardello
Journal: Proc. Amer. Math. Soc. 78 (1980), 77-84
MSC: Primary 22D35; Secondary 43A65
DOI: https://doi.org/10.1090/S0002-9939-1980-0548088-9
MathSciNet review: 548088
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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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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1980-0548088-9
Keywords: Induced representations, square-integrable representations, Plancherel measure, p-adic numbers
Article copyright: © Copyright 1980 American Mathematical Society