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arXiv · 0710.3452

On Bost-Connes type systems for number fields

Marcelo Laca·Nadia S. Larsen·Sergey Neshveyev
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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.

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Marcelo Laca, Nadia S. Larsen, Sergey Neshveyev. 2007-10-18. On Bost-Connes type systems for number fields. https://doi.org/10.1016/j.jnt.2008.09.008

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