KMS states and branched points
KMS states and branched points
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DOI：
10.1017/s014338570700020x
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发表时间：
2006-03
影响因子：
0.9
通讯作者：
Masaki Izumi;Tsuyoshi Kajiwara;Y. Watatani
中科院分区：
文献类型：
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作者：
Masaki Izumi;Tsuyoshi Kajiwara;Y. Watatani
摘要我们对C ~*-代数上的规范作用量的Kubo-Martin-Schwinger（KMS）态进行了完全分类。规范作用在β=log deg R处有相变。从KMS态的结构可以得到R的度、分支点数、例外点数和例外点的轨道。我们也用类似的方法对与一些自相似集（包括满帐篷映射和Sierpinski gasket）相关的C*-代数的KMS态进行了分类。
Abstract We completely classify the Kubo–Martin–Schwinger (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 deg 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.