KMS and ground states on ultragraph C*-algebras

• DOI: 10.48550/arxiv.1710.09337
• Publication Date: 2017-01-01
• Authors: Gilles G. de Castro; Daniel Gonçalves
• Keywords: Mathematics - Operator Algebras; FOS: Mathematics; 46L30, 46L55; Dynamical Systems (math.DS); Mathematics - Dynamical Systems; 0101 mathematics; Operator Algebras (math.OA); 01 natural sciences

We describe KMS and ground states arising from a generalized gauge action on ultragraph C*-algebras. focus ultragraphs that satisfy Condition~(RFUM), so we can use the partial crossed product description of C*-algebras recently described by second author Danilo Royer. In particular, for with no sinks, generalize recent result Toke Carlsen Nadia Larsen: Given time evolution C*-algebra an ultragraph, induced function edge set, characterize in five different ways four ways. both cases include characterization given maps set vertices ultragraph. apply this last to show existence is neither Exel-Laca nor graph C*-algebra.