Semigroup crossed products and Hecke algebras arising from number fields

zbMath0940.47062MaRDI QIDQ1383279

Marcelo Laca, Jane Arledge, Iain Raeburn

Publication date: 14 April 1998

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/224704

zbMATH Keywords

convolution productHecke algebrafaithful representationscovariant representationuniversal \(C^*\)-algebraalgebraic crossed product *-algebra

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Algebraic numbers; rings of algebraic integers (11R04) Crossed product algebras (analytic crossed products) (47L65)

Related Items (10)

Hecke algebras of semidirect products ⋮ Bost-Connes systems, Hecke algebras, and induction ⋮ Semigroups of *-endomorphisms, Dirichlet series, and phase transitions ⋮ On enveloping \(C^\ast\)-algebras of Hecke algebras ⋮ Constructing number field isomorphisms from \(*\)-isomorphisms of certain crossed product \(\mathrm{C}^*\)-algebras ⋮ Hecke algebras for protonormal subgroups. ⋮ Bost-Connes type systems for function fields ⋮ A \(C^*\)-dynamical system with Dedekind zeta partition function and spontaneous symmetry breaking ⋮ Discrete product systems and twisted crossed products by semigroups ⋮ Partial crossed product description of the 𝐶*-algebras associated with integral domains

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