Rigidity properties for commuting automorphisms on tori and solenoids
OPEN ACCESS
Loading...
Author / Producer
Date
2022-02
Publication Type
Journal Article
ETH Bibliography
yes
Citations
Altmetric
OPEN ACCESS
Data
Rights / License
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.
Permanent link
Publication status
published
External links
Editor
Book title
Journal / series
Volume
42 (S 2)
Pages / Article No.
691 - 736
Publisher
Cambridge University Press
Event
Edition / version
Methods
Software
Geographic location
Date collected
Date created
Subject
entropy; invariant measures; invariant sigma-algebras; measurable factors; joinings; toral automorphisms; solenoid automorphism
Organisational unit
03826 - Einsiedler, Manfred L. / Einsiedler, Manfred L.
00002 - ETH Zürich
Notes
Funding
178958 - Dynamics on homogeneous spaces and number theory (SNF)