Bratteli-Vershik models for partial actions of $\mathbb{Z}$
Dynamical Systems
2016-11-16 v2 Operator Algebras
Abstract
Let and be open subsets of the Cantor set with finite disjoint complements, and let be a homeomorphism with dense orbits. Building from the ideas of Herman, Putnam, and Skau, we show that the partial action induced by can be realized as the Vershik map on a Bratteli diagram, and that any two such diagrams are equivalent.
Cite
@article{arxiv.1611.04389,
title = {Bratteli-Vershik models for partial actions of $\mathbb{Z}$},
author = {Thierry Giordano and Daniel Gonçalves and Charles Starling},
journal= {arXiv preprint arXiv:1611.04389},
year = {2016}
}