Topologization of Hecke C*-algebras

Title: Topologization of Hecke C*-algebras
Creator: Glöckner, Helge; Willis, George A.
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
Publisher: Auburn University
Resource Type: conference paper
Date: 2002
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.
Subject: Hecke pair; Hecke algebra; topologization; totally disconnected group
Identifier: http://hdl.handle.net/1959.13/933499
Identifier: uon:11641
Identifier: ISSN:0146-4124
Language: eng
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