Hecke algebras of semidirect products

Laca, Marcelo; Larsen, Nadia

doi:10.1090/S0002-9939-02-06851-X

Hecke algebras of semidirect products
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by Marcelo Laca and Nadia S. Larsen PDF

Proc. Amer. Math. Soc. 131 (2003), 2189-2199 Request permission

Erratum: Proc. Amer. Math. Soc. 133 (2005), 1255-1256.

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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