Representations of Hecke algebras and dilations of semigroup crossed products

Details Representations of Hecke algebras and dilations of semigroup crossed products Representations of Hecke algebras and dilations of semigroup crossed products

2001-10-02

arxiv.org/abs/math/0110027v1

Mathematics

Operator Algebras

16 pages

Scientific paper

We consider a family of Hecke C*-algebras which can be realised as crossed
products by semigroups of endomorphisms. We show 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.

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