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arXiv · 1511.02662

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

Takuya Takeishi
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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. 2015-12-08. Primitive ideals and K-theoretic approach to Bost-Connes systems. https://arxiv.org/abs/1511.02662

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