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2019 Toeplitz subshifts with trivial centralizers and positive entropy
Kostya Medynets, James P. Talisse
Involve 12(3): 395-410 (2019). DOI: 10.2140/involve.2019.12.395

Abstract

Given a dynamical system ( X , G ) , the centralizer C ( G ) denotes the group of all homeomorphisms of X which commute with the action of G . This group is sometimes called the automorphism group of the dynamical system ( X , G ) . We generalize the construction of Bułatek and Kwiatkowski (1992) to d -Toeplitz systems by identifying a class of d -Toeplitz systems that have trivial centralizers. We show that this class of d -Toeplitz systems with trivial centralizers contains systems with positive topological entropy.

Citation

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Kostya Medynets. James P. Talisse. "Toeplitz subshifts with trivial centralizers and positive entropy." Involve 12 (3) 395 - 410, 2019. https://doi.org/10.2140/involve.2019.12.395

Information

Received: 3 May 2017; Revised: 13 June 2017; Accepted: 25 June 2018; Published: 2019
First available in Project Euclid: 5 February 2019

zbMATH: 07033138
MathSciNet: MR3905337
Digital Object Identifier: 10.2140/involve.2019.12.395

Subjects:
Primary: ‎37B05‎, 37B40, 37B50

Rights: Copyright © 2019 Mathematical Sciences Publishers

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Vol.12 • No. 3 • 2019
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