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arXiv · 1306.6030

Dynamical invariants for group automorphisms

Richard Miles·Matthew Staines·Thomas Ward
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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.

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Richard Miles, Matthew Staines, Thomas Ward. 2013-06-25. Dynamical invariants for group automorphisms. https://doi.org/10.1090/conm%2F631

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