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arXiv · 1411.3371

Finite-rank Bratteli-Vershik diagrams are expansive -- a new proof

Siri-Malén Høynes
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Abstract

In the paper "Finite-rank Bratteli-Vershik diagrams are expansive" [DM], Downarowicz and Maass proved that the Cantor minimal system associated to a properly ordered Bratteli diagram of finite rank is either an odometer system or an expansive system. We give a new proof of this truly remarkable result which we think is more transparent and easier to understand. We also address the question (QUESTION 1) raised in [DM] and we find a better (i.e. lower) bound than the one given in [DM]. In fact, we conjecture that the bound we have found is optimal.

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Siri-Malén Høynes. 2014-11-12. Finite-rank Bratteli-Vershik diagrams are expansive -- a new proof. https://doi.org/10.7146/math.scand.a-25613

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