Hecke algebras of semidirect products |
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| Authors: | Marcelo Laca Nadia S. Larsen |
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| Affiliation: | Department of Mathematics, University of Münster, 48149 Münster, Germany ; Department of Mathematics, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen Ø, Denmark |
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| Abstract: | We consider group-subgroup pairs in which the group is a semidirect product and the subgroup is contained in the normal part. We give conditions for the pair to be a Hecke pair and we show that the enveloping Hecke algebra and Hecke  -algebra are canonically isomorphic to semigroup crossed products, generalizing earlier results of Arledge, Laca and Raeburn and of Brenken. |
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