On Bost-Connes type systems for number fields

@article{Laca2007OnBT,
  title={On Bost-Connes type systems for number fields},
  author={M. Laca and Nadia S. Larsen and S. Neshveyev},
  journal={arXiv: Operator Algebras},
  year={2007}
}
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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