Bratteli-Vershik models for partial actions of ℤ

Let U and V be open subsets of the Cantor set with nonempty disjoint complements, and let h: U → V be a homeomorphism with dense orbits. Building on the ideas of Herman, Putnam and Skau, we show that the partial action induced by h can be realized as the Vershik map on an ordered Bratteli diagram, and that any two such diagrams are equivalent.

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