1Université Claude Bernard Lyon 1, Villeurbanne, France 2The Open University, Milton Keenes, UK; Université Claude Bernard Lyon 1, Villeurbanne, France
Groups, geometry, and dynamics, Tome 16 (2022) no. 1, pp. 29-73
For topological dynamical systems (X,T,σ) with abelian group T, which admit an equicontinuous factor π:(X,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.
1
Université Claude Bernard Lyon 1, Villeurbanne, France
2
The Open University, Milton Keenes, UK; Université Claude Bernard Lyon 1, Villeurbanne, France
Johannes Kellendonk; Reem Yassawi. The Ellis semigroup of bijective substitutions. Groups, geometry, and dynamics, Tome 16 (2022) no. 1, pp. 29-73. doi: 10.4171/ggd/640
@article{10_4171_ggd_640,
author = {Johannes Kellendonk and Reem Yassawi},
title = {The {Ellis} semigroup of bijective substitutions},
journal = {Groups, geometry, and dynamics},
pages = {29--73},
year = {2022},
volume = {16},
number = {1},
doi = {10.4171/ggd/640},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/640/}
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AU - Reem Yassawi
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