Phase transition in the Connes-Marcolli GL2-system

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We develop a general framework for analyzing KMS-states on C*-algebras arising from actions of Hecke pairs. We then specialize to the system recently introduced by Connes and Marcolli and classify its KMS-states for inverse temperatures β\ne 0,1. In particular, we show that for each β\in(1,2] there exists a unique KMS_β-state.
23 pages; minor corrections, final version

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Operator Algebras, Dynamical Systems, Number Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/140240

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609315
 http://arxiv.org/abs/math/0609315

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arXiv