Involve: A Journal of Mathematics
- Volume 12, Number 3 (2019), 395-410.
Toeplitz subshifts with trivial centralizers and positive entropy
Given a dynamical system , the centralizer denotes the group of all homeomorphisms of which commute with the action of . This group is sometimes called the automorphism group of the dynamical system . We generalize the construction of Bułatek and Kwiatkowski (1992) to -Toeplitz systems by identifying a class of -Toeplitz systems that have trivial centralizers. We show that this class of -Toeplitz systems with trivial centralizers contains systems with positive topological entropy.
Involve, Volume 12, Number 3 (2019), 395-410.
Received: 3 May 2017
Revised: 13 June 2017
Accepted: 25 June 2018
First available in Project Euclid: 5 February 2019
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 37B05: Transformations and group actions with special properties (minimality, distality, proximality, etc.) 37B40: Topological entropy 37B50: Multi-dimensional shifts of finite type, tiling dynamics
Medynets, Kostya; Talisse, James P. Toeplitz subshifts with trivial centralizers and positive entropy. Involve 12 (2019), no. 3, 395--410. doi:10.2140/involve.2019.12.395. https://projecteuclid.org/euclid.involve/1549335629