- Title
- Hecke algebras of group extensions
- Creator
- Baumgartner, Udo; Foster, James; Hicks, Jacqueline; Lindsay, Helen; Maloney, Ben; Raeburn, Iain; Ramagge, Jacqui; Richardson, Sarah
- Relation
- Communications in Algebra Vol. 33, Issue 11, p. 4135-4147
- Publisher Link
- http://dx.doi.org/10.1080/00927870500261447
- Publisher
- Taylor & Francis
- Resource Type
- journal article
- Date
- 2005
- Description
- We describe the Hecke algebra ℋ(Γ,Γ₀) of a Hecke pair (Γ,Γ₀) in terms of the Hecke pair (N,Γ₀) where N is a normal subgroup of Γ containing Γ₀. To do this, we introduce twisted crossed products of unital *-algebras by semigroups. Then, provided a certain semigroup S ⊂ Γ/N satisfies S⁻¹ S = Γ/N, we show that ℋ(Γ,Γ₀) is the twisted crossed product of ℋ(N,Γ₀) by S . This generalizes a recent theorem of Laca and Larsen about Hecke algebras of semidirect products.
- Subject
- Hecke algebras; representation; twisted cross products by semigroups
- Identifier
- http://hdl.handle.net/1959.13/29129
- Identifier
- uon:2411
- Identifier
- ISSN:0092-7872
- Language
- eng
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