Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778813 | Bulletin des Sciences Mathématiques | 2017 | 21 Pages |
Abstract
In this paper we further develop the theory of one-sided shift spaces over infinite alphabets, characterizing one-step shifts as edge shifts of ultragraphs and partially answering a conjecture regarding shifts of finite type (we show that there exist shifts of finite type that are not conjugate, via a conjugacy that is eventually finite periodic, to an edge shift of a graph). We also show that there exist edge shifts of ultragraphs that are shifts of finite type, but are not conjugate to a full shift, a result that is not true for edge shifts of graphs. One of the key results needed in the proofs of our conclusions is the realization of a class of ultragraph C*-algebras as partial crossed products, a result of interest on its own.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Daniel Gonçalves, Danilo Royer,