Hecke algebras of semidirect products

Authors:
Marcelo Laca and Nadia S. Larsen

Journal:
Proc. Amer. Math. Soc. **131** (2003), 2189-2199

MSC (2000):
Primary 46L55

DOI:
https://doi.org/10.1090/S0002-9939-02-06851-X

Published electronically:
November 13, 2002

Erratum:
Proc. Amer. Math. Soc. **133** (2005), 1255-1256.

MathSciNet review:
1963767

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Abstract | References | Similar Articles | Additional Information

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 -algebra are canonically isomorphic to semigroup crossed products, generalizing earlier results of Arledge, Laca and Raeburn and of Brenken.

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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

Email:
laca@math.uni-muenster.de

**Nadia S. Larsen**

Affiliation:
Department of Mathematics, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen Ø, Denmark

Email:
nadia@math.ku.dk

DOI:
https://doi.org/10.1090/S0002-9939-02-06851-X

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

Article copyright:
© Copyright 2002
American Mathematical Society