On Bost-Connes type systems for number fields
classification
🧮 math.OA
math.NT
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systemsbost-connesfieldsk-latticesnumbertypecompleteconnes-marcolli-ramachandran
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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.
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