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REPRESENTATIONS OF HECKE ALGEBRAS AND DILATIONS OF SEMIGROUP CROSSED PRODUCTS

Published online by Cambridge University Press:  24 March 2003

NADIA S. LARSEN  and
IAIN RAEBURN
NADIA S. LARSEN
Affiliation:
Department of Mathematics, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen Ø, [email protected]
IAIN RAEBURN
Affiliation:
Department of Mathematics, University of Newcastle, NSW 2308, [email protected]
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Abstract

A family of Hecke $C^*$ -algebras can be realised as crossed products by semigroups of endomorphisms. It is shown by dilating representations of the semigroup crossed product that the category of representations of the Hecke algebra is equivalent to the category of continuous unitary representations of a totally disconnected locally compact group.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 66 , Issue 1 , August 2002 , pp. 198 - 212
Copyright
The London Mathematical Society, 2002

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