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Hecke algebras of semidirect products

Marcelo Laca·Nadia S. Larsen
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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 C*-algebra are canonically isomorphic to semigroup crossed products, generalizing earlier results of Arledge, Laca and Raeburn and of Brenken.

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Marcelo Laca, Nadia S. Larsen. 2001-06-29. Hecke algebras of semidirect products. https://arxiv.org/abs/math/0106264

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