On Bost-Connes type systems for number fields

Details On Bost-Connes type systems for number fields On Bost-Connes type systems for number fields

2007-10-18

arxiv.org/abs/0710.3452v2

Mathematics

Operator Algebras

12 pages; small corrections, references added

Scientific paper

We give a complete description of the phase transition of the Bost-Connes
type systems for number fields recently introduced by
Connes-Marcolli-Ramachandran and Ha-Paugam. We also introduce a notion of
K-lattices and discuss an interpretation of these systems in terms of
1-dimensional K-lattices.

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