## 抄録

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.

本文言語 | English |
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ページ（範囲） | 83-104 |

ページ数 | 22 |

ジャーナル | Kyushu Journal of Mathematics |

巻 | 67 |

号 | 1 |

DOI | |

出版ステータス | Published - 7月 25 2013 |

## ASJC Scopus subject areas

- 数学 (全般)