Primitive ideals and K-theoretic approach to Bost-Connes systems
Operator Algebras
2015-12-09 v2 Number Theory
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 -algebras. We examine second maximal primitive ideals of Bost-Connes -algebras, and apply -theory to some quotients.
Cite
@article{arxiv.1511.02662,
title = {Primitive ideals and K-theoretic approach to Bost-Connes systems},
author = {Takuya Takeishi},
journal= {arXiv preprint arXiv:1511.02662},
year = {2015}
}
Comments
9 pages. Proposition 3.6, Remark 3.13, and several minor revision are added