Corpus ID: 119579432

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

  title={Bratteli-Vershik models for partial actions of \$\mathbb\{Z\}\$},
  author={T. Giordano and D. Gonccalves and Charles Starling},
  journal={arXiv: Dynamical Systems},
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. 
2 Citations
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