KMS STATES AND CONTINUOUS ORBIT EQUIVALENCE FOR ULTRAGRAPH SHIFT SPACES WITH SINKS

被引：5
|
作者：
Tasca, Felipe Augusto [1 ]
Goncalves, Daniel [2 ]
机构：
[1] Univ Fed Santa Catarina, BR-88040900 Florianopolis, SC, Brazil
[2] Univ Fed Santa Catarina, Dept Matemat, BR-88040900 Florianopolis, SC, Brazil
来源：
PUBLICACIONS MATEMATIQUES | 2022年 / 66卷 / 02期
关键词：
ultragraph C*-algebras; partial crossed products; groupoids; KMS states; continuous orbit equivalence; C-ASTERISK-ALGEBRAS; ISOMORPHISM; GROUPOIDS; GRAPHS;
D O I：
10.5565/PUBLMAT6622208
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We extend ultragraph shift spaces and the realization of ultragraph C* -al-gebras as partial crossed products to include ultragraphs with sinks (under a mild condition, called (RFUM2), which allows us to dismiss the use of filters) and we de-scribe 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).
引用
收藏
页码：729 / 787
页数：59
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