Semigroup crossed products and Hecke algebras arising from number fields

  • Jane Arledge

    Department of Mathematics Department of Mathematics University of Newcastle University of Newcastle NSW 2308 NSW 2308 Australia Australia
  • Marcelo Laca

    Department of Mathematics Department of Mathematics University of Newcastle University of Newcastle NSW 2308 NSW 2308 Australia Australia
  • Iain Raeburn

    Department of Mathematics University of Newcastle NSW 2308 Australia
Semigroup crossed products and Hecke algebras arising from number fields cover
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Abstract

Recently Bost and Connes considered a Hecke -algebra arising from the ring inclusion of in , and a -dynamical system involving this algebra. Laca and Raeburn realized this algebra as a semigroup crossed product, and studied it using techniques they had previously developed for studying Toeplitz algebras. Here we associate Hecke algebras to general number fields, realize them as semigroup crossed products, and analyze their representations.

Cite this article

Jane Arledge, Marcelo Laca, Iain Raeburn, Semigroup crossed products and Hecke algebras arising from number fields. Doc. Math. 2 (1997), pp. 115–138

DOI 10.4171/DM/25