Rigidity of the measurable structure for algebraic actions of higher-rank Abelian groups

DOI10.1017/S014338570400046XzbMath1073.37005arXivmath/0207137OpenAlexW2114189018MaRDI QIDQ4682046

Boris Kalinin, Ralf J. Spatzier

Publication date: 9 June 2005

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0207137

zbMATH Keywords

rigidityalgebraic group actionsjoinings

Mathematics Subject Classification ID

General groups of measure-preserving transformations and dynamical systems (37A15) General theory of group and pseudogroup actions (22F05)

Related Items (9)

Joinings of higher-rank diagonalizable actions on locally homogeneous spaces ⋮ Multi-invariant measures and subsets on nilmanifolds ⋮ Rigidity properties of ℤ^{𝕕}-actions on tori and solenoids ⋮ Distribution of periodic torus orbits on homogeneous spaces ⋮ The work of Einsiedler, Katok and Lindenstrauss on the Littlewood conjecture ⋮ Invariant measures and measurable projective factors for actions of higher-rank lattices on manifolds ⋮ Rigidity properties for commuting automorphisms on tori and solenoids ⋮ Rigidity of multiparameter actions ⋮ Rigidity of measures -- the high entropy case and non-commuting foliations

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