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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On induced representations of discrete groups


Author: Michael W. Binder
Journal: Proc. Amer. Math. Soc. 118 (1993), 301-309
MSC: Primary 22D30; Secondary 22D10
MathSciNet review: 1123649
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Abstract: The paper deals with induced representations $ \operatorname{ind} _H^G\sigma $ of a locally compact group $ G$ where $ H$ is an open subgroup. Using "elementary intertwining operators", we first describe the commutant $ \operatorname{ind} _H^G\sigma (G)'$ (also in the case of realizing the induced representations with positive definite measures). Then criteria for irreducibility and pairwise disjointness of induced representations are given. Finally, special attention is devoted to abelian subgroups $ H$.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1123649-6
Article copyright: © Copyright 1993 American Mathematical Society