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arXiv · 1611.04389

Bratteli-Vershik models for partial actions of $\mathbb{Z}$

Thierry Giordano·Daniel Gonçalves·Charles Starling
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Abstract

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

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Thierry Giordano, Daniel Gonçalves, Charles Starling. 2016-11-14. Bratteli-Vershik models for partial actions of $\mathbb{Z}$. https://arxiv.org/abs/1611.04389

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