Dynamical invariants for group automorphisms

MILES, Richard, STAINES, Matthew and WARD, Thomas (2015). Dynamical invariants for group automorphisms. In: BHATTACHARYA, Siddhartha, DAS, Tarun, GHOSH, Anish and SHAH, Riddhi, (eds.) Recent trends in ergodic theory and dynamical systems : international conference in honor of S.G. Dani's 65th birthday, December 26-29, 2012, Vadodara, India. Contemporary Mathematics (631). American Mathematical Society, 231-258. [Book Section]

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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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