Michael F. Whittaker

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(2015) Graph algebras and orbit equivalence. Ergodic Theory and Dynamical Systems There may be differences between this version and the published version. You are advised to consult the publisher's version if you wish to cite from it. Abstract. We introduce the notion of orbit equivalence of directed graphs, following Matsumoto's notion of continuous orbit(More)
We initiate the study of correspondences for Smale spaces. Correspondences are shown to provide a notion of a generalized mor-phism between Smale spaces and are a special case of finite equivalences. Furthermore, for shifts of finite type, a correspondence is related to a matrix which intertwines the adjacency matrices of the shifts. This observation allows(More)
There may be differences between this version and the published version. You are advised to consult the publisher's version if you wish to cite from it. Abstract. We study the external and internal Zappa-Szép product of topological groupoids. We show that under natural continuity assumptions the Zappa-Szép product groupoid isétale if and only if the(More)
We introduce twisted relative Cuntz-Krieger algebras associated to finitely aligned higher-rank graphs and give a comprehensive treatment of their fundamental structural properties. We establish versions of the usual uniqueness theorems and the classification of gauge-invariant ideals. We show that all twisted relative Cuntz-Krieger algebras associated to(More)
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