When is the Ellis semigroup a complete conjugacy invariant?
Dynamical Systems
2026-05-29 v1
Abstract
The Ellis semigroup of a topological dynamical system contains algebraic, topological and dynamical information. It is invariant under conjugacy. Despite this wealth of structure, two non-conjugate dynamical systems can have the same Ellis semigroup. We identify a class of minimal dynamical systems inside which this cannot happen, that is, for which the Ellis semigroup is a complete conjugacy invariant.
Cite
@article{arxiv.2605.29125,
title = {When is the Ellis semigroup a complete conjugacy invariant?},
author = {Johannes Kellendonk and Reem Yassawi},
journal= {arXiv preprint arXiv:2605.29125},
year = {2026}
}
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37 pages