On Bost-Connes type systems for number fields

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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.
12 pages; small corrections, references added

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Operator Algebras, Number Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/141055

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.3452
 http://arxiv.org/abs/0710.3452

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arXiv