Extension of spontaneous symmetry breaking of Bost-Connes in case of arbitrary global fields

DOI10.1007/s000290050010zbMath0924.46051OpenAlexW2089259739MaRDI QIDQ1366758

David Harari, Eric Leichtnam

Publication date: 11 November 1997

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000290050010

zbMATH Keywords

spontaneous symmetry breakingone-parameter group of automorphismsHecke \(C^\ast\)-algebras

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Symmetry breaking in quantum theory (81R40) Zeta functions and (L)-functions of number fields (11R42) Classifications of (C^*)-algebras (46L35)

Related Items (7)

Semigroups of *-endomorphisms, Dirichlet series, and phase transitions ⋮ Constructing number field isomorphisms from \(*\)-isomorphisms of certain crossed product \(\mathrm{C}^*\)-algebras ⋮ Phase transition on the Toeplitz algebra of the affine semigroup over the natural numbers ⋮ Bost-Connes type systems for function fields ⋮ Equilibrium states on the Cuntz-Pimsner algebras of self-similar actions ⋮ NUMBER THEORY, DYNAMICAL SYSTEMS AND STATISTICAL MECHANICS ⋮ A \(C^*\)-dynamical system with Dedekind zeta partition function and spontaneous symmetry breaking

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