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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/933499

Title

Topologization of Hecke C*-algebras

Author/Creator

Glöckner, Helge;  Willis, George A.

Description

Let (G,S) be a Hecke pair, i.e., G is a group and S an almost normal subgroup, meaning that every double coset SgS is the union of finitely many left cosets of S. We show that there exists a homomorphism ϕ from G to a totally disconnected, locally compact group G̃ such that S̃ := (S) is a compact, open subgroup of G̃, and such that the Hecke algebras H(G,S) and H(G̃,S̃) are isomorphic. This "topologization" construction is then used to solve a problem in the theory of Hecke C*-algebras.

Relation

2002 Spring Topology and Dynamics Conference. Proceedings of the 2002 Spring Topology and Dynamics Conference [presented in Topology Proceedings, Vol. 26, No. 2] (Austin, TX 21-23 March, 2002) p. 565-591

Relation

http://at.yorku.ca/b/a/a/l/39.htm

Date

2002

Publisher

Auburn University

Keyword(s)

Hecke pair;  Hecke algebra;  topologization;  totally disconnected group

Resource Type

conference paper

Identifier

http://hdl.handle.net/1959.13/933499

Identifier

ISSN:0146-4124

Language

eng

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Subject

"Topologization of Hecke C*-algebras"

 

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