Decisive Bratteli-Vershik models

Olena Karpel
Institute of Mathematics of the Polish Academy of Sciences, Warsaw, Poland

Date(s) : 25/10/2016   iCal
11 h 00 min - 12 h 00 min

The goal of this talk is to determine when a homeomorphism of a compact zero-dimensional metric space has a decisive Bratteli-Vershik representation. An ordered Bratteli diagram is called decisive if the corresponding Vershik map prolongs in a unique way to a homeomorphism of the whole path space of a Bratteli diagram. We prove that a compact invertible zero-dimensional system has a decisive Bratteli-Vershik model if and only if the set of aperiodic points is dense, or its closure misses one periodic orbit.
This is a joint work with T. Downarowicz.



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