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The ideal structure of the Hecke \(C^*\)-algebra of Bost and Connes

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Publication:1590166
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DOI10.1007/s002080000107zbMath1032.46536arXivmath/9911134OpenAlexW2035347688MaRDI QIDQ1590166

Iain Raeburn, Marcelo Laca

Publication date: 18 March 2004

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9911134



Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Zeta and (L)-functions: analytic theory (11M99)


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Hecke algebras from groups acting on trees and HNN extensions. ⋮ Hecke algebras of semidirect products ⋮ Irreducible representations of Bost-Connes systems ⋮ Constructing number field isomorphisms from \(*\)-isomorphisms of certain crossed product \(\mathrm{C}^*\)-algebras ⋮ The primitive ideal space of the C*-algebra of the affine semigroup of algebraic integers ⋮ Two families of Exel-Larsen crossed products ⋮ Bost-Connes type systems for function fields ⋮ GENERALIZED HECKE ALGEBRAS AND C*-COMPLETIONS ⋮ C*-algebras from actions of congruence monoids on rings of algebraic integers ⋮ Partial crossed product description of the 𝐶*-algebras associated with integral domains



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