Decisive Bratteli-Vershik models

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Date(s) - 25/10/2016
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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