Phase transition in the Connes-Marcolli GL2-system

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dc.creatorLaca, Marcelo
dc.creatorLarsen, Nadia
dc.creatorNeshveyev, Sergey
dc.date2006-09-11
dc.date2007-10-18
dc.date.accessioned2026-07-07T08:36:57Z
dc.date.available2026-07-07T08:36:57Z
dc.descriptionWe 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.
dc.description23 pages; minor corrections, final version
dc.identifierhttps://arxiv.org/abs/math/0609315
dc.identifierhttp://arxiv.org/abs/math/0609315
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140240
dc.subjectOperator Algebras
dc.subjectDynamical Systems
dc.subjectNumber Theory
dc.titlePhase transition in the Connes-Marcolli GL2-system
dc.typetext

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