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Faithful representations of crossed products by actions of $\boldsymbol N^k$

  • Autores: Nadia S. Larsen, Iain Raeburn
  • Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 89, Nº 2, 2001, págs. 283-296
  • Idioma: inglés
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  • Resumen
    • We study a family of semigroup crossed products arising from actions of $\boldsymbol N^k$ by endomorphisms of groups. These include the Hecke algebra arising in the Bost-Connes analysis of phase transitions in number theory, and other Hecke algebras considered by Brenken. Our main theorem is a characterisation of the faithful representations of these crossed products, and generalises a similar theorem for the Bost-Connes algebra due to Laca and Raeburn.


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