When is the Ellis semigroup a complete conjugacy invariant?
classification
🧮 math.DS
keywords
dynamicalellissemigroupconjugacyinvariantcompletesystemstopological
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.