具有汇的超图移位空间的KMS态和连续轨道等价

Pub Date : 2020-03-12 DOI:10.5565/publmat6622208

F. A. Tasca, D. Gonçalves

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引用次数: 7

摘要

我们将超图移位空间和超图C*-代数作为偏交积的实现扩展到包括具有汇的超图（在温和的条件下，称为（RFUM2），这允许我们忽略滤波器的使用），并且我们描述了相关的变换群胚。利用这些特征，我们研究了超图移位空间（通过群胚）和KMS与基态（通过部分叉积）的连续轨道等价性。

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KMS states and continuous orbit equivalence for ultragraph shift spaces with sinks

We extend ultragraph shift spaces and the realization of ultragraph C*-algebras as partial crossed products to include ultragraphs with sinks (under a mild condition, called (RFUM2), which allow us to dismiss the use of filters) and we describe the associated transformation groupoid. Using these characterizations we study continuous orbit equivalence of ultragraph shift spaces (via groupoids) and KMS and ground states (via partial crossed products).

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