Extension of spontaneous symmetry breaking of Bost-Connes in case of arbitrary global fields
type: Item
instance of: scholarly article
title: Extension of spontaneous symmetry breaking of Bost-Connes in case of arbitrary global fields
zbMATH Open document ID: 0924.46051
author: David Harari
author: Eric Leichtnam
published in: Selecta Mathematica. New Series
publication date: 1997-11-11T00:00:00Z
review text: In [C. R. Acad. Sci., Paris, Sér. I 315, 279-284 (1992; Zbl 0781.46045) and Sel. Math., New Ser. 1, 412-457 (1995; Zbl 0842.46040)] \textit{J. B. Bost} and \textit{A. Connes} exhibited the phenomenon of spontaneous symmetry breaking in the states of a one-parameter group of automorphisms of a certain Hecke \(C^\ast\)-algebra associated to the field \({\mathbb Q}\) of rational numbers. The authors extend this work to an arbitrary global field \({\mathbb K}\), i.e. to any number field or any finite separable extension of the rational field \({\mathbb Z}_p(T)\). The results are almost literally the same.
Mathematics Subject Classification ID: 46L55
Mathematics Subject Classification ID: 81R40
Mathematics Subject Classification ID: 11R42
Mathematics Subject Classification ID: 46L35
zbMATH DE Number: 1061895
zbMATH Keywords: spontaneous symmetry breaking
zbMATH Keywords: Hecke \(C^\ast\)-algebras
zbMATH Keywords: one-parameter group of automorphisms
MaRDI profile type: Publication
full work available at URL: s000290050010
OpenAlex ID: W2089259739
DOI: 10.1007/S000290050010
description: scientific article; zbMATH DE number 1061895