KMS states and branched points

Simple item page
dc.creatorIzumi, Masaki
dc.creatorKajiwara, Tsuyoshi
dc.creatorWatatani, Yasuo
dc.date2006-03-25
dc.date.accessioned2026-07-07T07:07:13Z
dc.date.available2026-07-07T07:07:13Z
dc.descriptionWe completely classify the KMS states for the gauge action on a $C^*$-algebra associated with a rational function $R$ introduced in our previous work. The gauge action has a phase transition at $β= \log °R$. We can recover the degree of $R$, the number of branched points, the number of exceptional points and the orbits of exceptional points from the structure of the KMS states. We also classify the KMS states for $C^*$-algebras associated with some self-similar sets, including the full tent map and the Sierpinski gasket by a similar method.
dc.description32 pages, LaTeX2e formated
dc.identifierhttps://arxiv.org/abs/math/0603592
dc.identifierhttp://arxiv.org/abs/math/0603592
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110310
dc.subjectOperator Algebras
dc.subjectDynamical Systems
dc.subject46L08, 37F10
dc.titleKMS states and branched points
dc.typetext

Files

Collections

arXiv