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A SEMIGROUP CROSSED PRODUCT ARISING IN NUMBER THEORY

Published online by Cambridge University Press:  01 February 1999

MARCELO LACA  and
IAIN RAEBURN
MARCELO LACA
Affiliation:
Department of Mathematics, University of Newcastle, NSW 2308, Australia. E-mail: marcelo@math.newcastle.edu.au, E-mail: iain@math.newcastle.edu.au
IAIN RAEBURN
Affiliation:
Department of Mathematics, University of Newcastle, NSW 2308, Australia. E-mail: marcelo@math.newcastle.edu.au, E-mail: iain@math.newcastle.edu.au
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Abstract

Recently Bost and Connes have studied an interesting C*-algebraic Hecke algebra arising in number theory. Here it is shown that this algebra can be realised as a semigroup crossed product, and be profitably studied using methods developed by the authors for analysing Toeplitz algebras. One main result is a characterisation of faithful representations of the Hecke algebra.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 59 , Issue 1 , February 1999 , pp. 330 - 344
Copyright
The London Mathematical Society 1999

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