Primitive ideals and K-theoretic approach to Bost-Connes systems

Abstract

By KMS-classification theorem, the Dedekind zeta function is an invariant of Bost-Connes systems. In this paper, we show that it is in fact an invariant of Bost-Connes $C^{\ast }$-algebras. We examine second maximal primitive ideals of Bost-Connes $C^{\ast }$-algebras, and apply $K$-theory to some quotients.

9 pages. Proposition 3.6, Remark 3.13, and several minor revision are added

References in corpus (1)

• Irreducible Representations of Bost-Connes systems