Article ID Journal Published Year Pages File Type
6425158 Advances in Mathematics 2016 11 Pages PDF
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⁎-algebras. We examine second maximal primitive ideals of Bost-Connes C⁎-algebras, and apply K-theory to some quotients.

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Physical Sciences and Engineering Mathematics Mathematics (General)
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Primitive ideals and K-theoretic approach to Bost-Connes systems
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