论文标题

KMS状态和带有水槽的Ultragraph Shift Space的连续轨道当量

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

论文作者

Tasca, Felipe Augusto, Gonçalves, Daniel

论文摘要

我们扩展了Ultragraph Shift Space和Ultragraph C* - 代数作为部分交叉产品的实现,以包括带有水槽的超级杂物(在温和的条件下,称为(RFUM2),这使我们可以忽略过滤器的使用),我们描述了相关的转换组。使用这些特征,我们研究了Ultragraph Shift Space的连续轨道等效性(通过类固醇)以及KMS和基态(通过部分交叉产物)。

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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