Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/24470

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Title
Hecke algebras of group extensions
Author/Creator
Baumgartner, Udo;  Foster, James;  Hicks, Jacqueline;  Lindsay, Helen;  Maloney, Ben;  Raeburn, Iain;  Ramagge, Jacqueline;  Richardson, Sarah
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.
Relation
Communications in Algebra Vol. 33, no. 11, p. 4135-4147
Date
2005
Publisher
M. Dekker
Keyword(s)
Hecke algebras;  representation;  twisted crossed product by semigroups;  semigroup crossed product
Resource Type
journal article
Identifier
http://hdl.handle.net/1959.13/24470
Identifier
ISSN:0092-7872
Language
eng
Reviewed
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Subject
"Communications in Algebra"
 
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