- Title
- Hecke algebras of group extensions
- Creator
- Baumgartner, Udo; Foster, James; Hicks, Jacqueline; Lindsay, Helen; Maloney, Ben; Raeburn, Iain; Ramagge, Jacqueline; Richardson, Sarah
- Relation
- Communications in Algebra Vol. 33, no. 11, p. 4135-4147
- Publisher
- M. Dekker
- Resource Type
- journal article
- Date
- 2005
- Description
- We describe the Hecke algebra H(Gamma,Gamma(0)) of a Hecke pair (Gamma, Gamma(0)) in terms of the Hecke pair (N, Gamma(0)) where N is a normal subgroup of Gamma containing Gamma(0). To do this, we introduce twisted crossed products of unital *-algebras by semigroups. Then, provided a certain semigroup S subset of Gamma/ N satisfies S-1 S = Gamma/N , we show that H(Gamma, Gamma(0)) is the twisted crossed product of (N ,Gamma(0)) by S . This generalizes a recent theorem of Laca and Larsen about Hecke algebras of semidirect products.
- Subject
- Hecke algebras; representation; twisted crossed product by semigroups; semigroup crossed product
- Identifier
- http://hdl.handle.net/1959.13/24470
- Identifier
- uon:95
- Identifier
- ISSN:0092-7872
- Language
- eng
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