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math.OA2015
Primitive ideals and K-theoretic approach to Bost-Connes systems
Takuya Takeishi
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 -algebr…
math.OA2015
Bost-Connes systems for local fields of characteristic zero
Takuya Takeishi
The Bost-Connes system is a -dynamical system which has a relation with the class field theory. The purpose of this paper is to generalize the notion of Bost-Connes systems to…