Abstract
We extend ultragraph shift spaces and the realization of ultragraph -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).
Funding Statement
The first author was financed in part by Coordenação de Aperfeiç coamento 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.
Citation
Felipe Augusto Tasca. Daniel Gonçalves. "KMS states and continuous orbit equivalence for ultragraph shift spaces with sinks." Publ. Mat. 66 (2) 729 - 787, 2022. https://doi.org/10.5565/PUBLMAT6622208
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