Dynamical invariants for group automorphisms

Miles, Richard; Staines, Matthew; Ward, Thomas

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.

Citation

Miles, R., Staines, M., & Ward, T. (2015). Dynamical invariants for group automorphisms. In S. Bhattacharya, T. Das, A. Ghosh, & R. Shah (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 (231-258). American Mathematical Society. https://doi.org/10.1090/conm/631/12606

• Publication Date: Jan 1, 2015
• Deposit Date: Mar 24, 2015
• Publicly Available Date: Apr 2, 2015
• Publisher: American Mathematical Society
• Pages: 231-258
• Series Title: Contemporary mathematics
• Book Title: 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.
• ISBN: 9781470409319
• DOI: https://doi.org/10.1090/conm/631/12606
• Public URL: https://durham-repository.worktribe.com/output/1646681
• Related Public URLs: http://arxiv.org/abs/1306.6030
• Contract Date: Oct 18, 2013