Extension of spontaneous symmetry breaking of Bost-Connes in case of arbitrary global fields
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.
scientific article; zbMATH DE number 1061895