Journal
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
Volume 2019, Issue 7, Pages 2177-2203Publisher
OXFORD UNIV PRESS
DOI: 10.1093/imrn/rnx175
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- Conselho Nacional de Desenvolvimento Cientifico e Tecnologico-CNPq
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We define a notion of (one-sided) edge shift spaces associated to ultragraphs. In the finite case, our notion coincides with the edge shift space of a graph. In general, we show that our space is metrizable and has a countable basis of clopen sets. We show that for a large class of ultragraphs the basis elements of the topology are compact. We examine shift morphisms between these shift spaces, and, for the locally compact case, show that if two (possibly infinite) ultragraphs have edge shifts that are conjugate, via a conjugacy that preserves length, then the associated ultragraph C*-algebras are isomorphic. To prove this last result we realize the relevant ultragraph C*-algebras as partial crossed products.
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