On Bost-Connes type systems for number fields
Operator Algebras
2007-10-31 v2 Number Theory
Abstract
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.
Cite
@article{arxiv.0710.3452,
title = {On Bost-Connes type systems for number fields},
author = {Marcelo Laca and Nadia S. Larsen and Sergey Neshveyev},
journal= {arXiv preprint arXiv:0710.3452},
year = {2007}
}
Comments
12 pages; small corrections, references added