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Kellendonk, Johannes and Yassawi, Reem
(2022).
URL: https://arxiv.org/abs/1908.05690
Abstract
For topological dynamical systems (X,T, σ) which admit an equicontinuous factor (Y, T, σ) ➜ (Y, T, δ), the Ellis semigroup E(X) is an extension of Y by its subsemigroup Efib(X) of elements which preserve the fibres of π. We establish methods to compute Efib(X) and use them to determine the Ellis semigroup of dynamical systems arising from primitive aperiodic bijective substitutions. As an application we show that for these substitution shifts, the virtual automorphism group is isomorphic to the classical automorphism group.
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- Item ORO ID
- 73816
- Item Type
- Journal Item
- Extra Information
- 26/11/2020:Add publisher copyright before making available JM
- Keywords
- Ellis semigroup; substitution dynamical systems
- Academic Unit or School
-
Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM) - Research Group
- Centre for Research and Innovation in Online Legal and Business Education (SCiLAB)
- Depositing User
- Reem Yassawi