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

Published 9 Nov 2015 in math.OA and math.NT | (1511.02662v2)

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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Takuya Takeishi

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