Rigidity properties for commuting automorphisms on tori and solenoids
Dynamical Systems
2021-01-28 v1
Abstract
Assuming positive entropy we prove a measure rigidity theorem for higher rank actions on tori and solenoids by commuting automorphisms. We also apply this result to obtain a complete classification of disjointness and measurable factors for these actions.
Keywords
Cite
@article{arxiv.2101.11120,
title = {Rigidity properties for commuting automorphisms on tori and solenoids},
author = {Manfred Einsiedler and Elon Lindenstrauss},
journal= {arXiv preprint arXiv:2101.11120},
year = {2021}
}
Comments
In memory of Anatole Katok, 43 pages