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Primitive ideals and K-theoretic approach to Bost–Connes systems
- Source :
- Advances in Mathematics. 302:1069-1079
- Publication Year :
- 2016
- Publisher :
- Elsevier BV, 2016.
-
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.
Details
- ISSN :
- 00018708
- Volume :
- 302
- Database :
- OpenAIRE
- Journal :
- Advances in Mathematics
- Accession number :
- edsair.doi...........7a0b8556de6d0bc015747a7bdd27fe14