2017/03/15 by Daniel Gonçalves, Gonçalves, Daniel, Danilo Royer +1 · 2 citations
Mathematics · #37B10 #47L65 #54H20 #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #Dynamical Systems (math.DS) #FOS: Mathematics #Operator Algebras (math.OA)
paper · pdf · doi:10.48550/arxiv.1703.05069
openalex publication_date 2017/03/15 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
We define a notion of (one-sided) edge shift spaces associated to\nultragraphs. In the finite case our notion coincides with the edge shift space\nof a graph. In general, we show that our space is metrizable and has a\ncountable basis of clopen sets. We show that for a large class of ultragraphs\nthe basis elements of the topology are compact. We examine shift morphisms\nbetween these shift spaces, and, for the locally compact case, show that if two\n(possibly infinite) ultragraphs have edge shifts that are conjugate, via a\nconjugacy that preserves length, then the associated ultragraph C*-algebras are\nisomorphic. To prove this last result we realize the relevant ultragraph\nC*-algebras as partial crossed products.\n