Dynamical invariants for group automorphisms
Dynamical Systems
2016-10-27 v1
Abstract
We discuss some of the issues that arise in attempts to classify automorphisms of compact abelian groups from a dynamical point of view. In the particular case of automorphisms of one-dimensional solenoids, a complete description is given and the problem of determining the range of certain invariants of topological conjugacy is discussed. Several new results and old and new open problems are described.
Cite
@article{arxiv.1306.6030,
title = {Dynamical invariants for group automorphisms},
author = {Richard Miles and Matthew Staines and Thomas Ward},
journal= {arXiv preprint arXiv:1306.6030},
year = {2016}
}