Dynamical invariants for group automorphisms

Miles, Richard; Staines, Matthew; Ward, Thomas

doi:10.1090/conm/631/12606

Dynamical invariants for group automorphisms

Miles, Richard; Staines, Matthew; Ward, Thomas

Authors

Richard Miles

Matthew Staines

Thomas Ward

Contributors

Siddhartha Bhattacharya
Editor

Tarun Das
Editor

Anish Ghosh
Editor

Riddhi Shah
Editor

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

Acceptance Date	Oct 18, 2013
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
Related Public URLs	http://arxiv.org/abs/1306.6030

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Copyright Statement
© 2015 American Mathematical Society. First published in Contemporary Mathematics, Publication Year 2015: Volume 631, published by the American Mathematical Society.