KMS states and continuous orbit equivalence for ultragraph shift spaces with sinks
Tasca, Felipe Augusto (Universidade Federal de Santa Catarina)
Gonçalves, Daniel (Universidade Federal de Santa Catarina. Departamento de Matemática)

Date:	2022
Abstract:	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 allows 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).
Note:	The first author was financed in part by Coordenaçao de Aperfeiçoamento de Pessoal de Nível Superior - Brasil (CAPES) - Finance Code 001. The second author was partially supported by Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) grant numbers 304487/2017-1 and 406122/2018-0 and Capes-PrInt grant number 88881.310538/2018-01 - Brazil.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Ultragraph c∗-algebras ; Partial crossed products ; Groupoids ; Kms states ; Continuous orbit equivalence
Published in:	Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 729-787 (Articles) , ISSN 2014-4350

Adreça original: https://raco.cat/index.php/PublicacionsMatematiques/article/view/402257
DOI: 10.5565/PUBLMAT6622208

59 p, 756.1 KB

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