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- W2964322011 abstract "We study Kubo-Martin-Schwinger(KMS) states on finite-graph C∗-algebras with sinks and sources. We compare finite-graph C∗-algebras with C∗-algebras associated with complex dynamical systems of rational functions. We show that if the inverse temperature β is large, then the set of extreme β-KMS states is parametrized by the set of sinks of the graph. This means that the sinks of a graph correspond to the branched points of a rational function from the point of KMS states. Since we consider graphs with sinks and sources, left actions of the associated bimodules are not injective. Then the associated graph C∗-algebras are realized as (relative) Cuntz-Pimsner algebras studied by Katsura. We need to generalize Laca-Neshvyev's theorem of the construction of KMS states on Cuntz-Pimsner algebras to the case that left actions of bimodules are not injective." @default.
- W2964322011 created "2019-07-30" @default.
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- W2964322011 date "2013-01-01" @default.
- W2964322011 modified "2023-10-16" @default.
- W2964322011 title "KMS STATES ON FINITE-GRAPH C∗-ALGEBRAS" @default.
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- W2964322011 doi "https://doi.org/10.2206/kyushujm.67.83" @default.
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