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REPRESENTATIONS OF HECKE ALGEBRAS AND DILATIONS OF SEMIGROUP CROSSED PRODUCTS
Published online by Cambridge University Press: 24 March 2003
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.
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- The London Mathematical Society, 2002
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