- 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
- Reviewed
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