Hecke algebras of semidirect products
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- by Marcelo Laca and Nadia S. Larsen PDF
- Proc. Amer. Math. Soc. 131 (2003), 2189-2199 Request permission
Erratum: Proc. Amer. Math. Soc. 133 (2005), 1255-1256.
Abstract:
We consider group-subgroup pairs in which the group is a semidirect product and the subgroup is contained in the normal part. We give conditions for the pair to be a Hecke pair and we show that the enveloping Hecke algebra and Hecke $C^*$-algebra are canonically isomorphic to semigroup crossed products, generalizing earlier results of Arledge, Laca and Raeburn and of Brenken.References
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Additional Information
- Marcelo Laca
- Affiliation: Department of Mathematics, University of Münster, 48149 Münster, Germany
- Address at time of publication: Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, Canada V8W 3P4
- MR Author ID: 335785
- Email: laca@math.uni-muenster.de
- Nadia S. Larsen
- Affiliation: Department of Mathematics, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen Ø, Denmark
- MR Author ID: 622552
- Email: nadia@math.ku.dk
- Received by editor(s): July 15, 2001
- Received by editor(s) in revised form: January 22, 2002, and March 5, 2002
- Published electronically: November 13, 2002
- Additional Notes: The first author was supported by the Deutsche Forschungsgemeinschaft [SFB 478]
The second author was supported by the Danish Natural Science Research Council and The Carlsberg Foundation - Communicated by: David R. Larson
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 2189-2199
- MSC (2000): Primary 46L55
- DOI: https://doi.org/10.1090/S0002-9939-02-06851-X
- MathSciNet review: 1963767