Relativized Weak Disjointness and Relatively Invariant Measures

DOI10.2307/1997782zbMath0388.54030OpenAlexW4254582713MaRDI QIDQ4169914

Douglas C. McMahon

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/1997782

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) General groups of measure-preserving transformations (28D15)

Related Items

Lifting the regionally proximal relation and characterizations of distal extensions ⋮ Abelian minimal transformation semigroups ⋮ Higher order regionally proximal equivalence relations for general minimal group actions ⋮ Reflections on equicontinuity ⋮ Dynamical systems disjoint from any minimal system ⋮ Almost automorphy and Veech's relations of dynamics on compact \(T_2\)-spaces ⋮ Relative entropy dimension for countable amenable group actions ⋮ On the structure theory of cubespace fibrations ⋮ Relativization of sensitivity in minimal systems ⋮ Regionally proximal relation of order \(d\) along arithmetic progressions and nilsystems ⋮ On M-dynamics and Li-Yorke chaos of extensions of minimal dynamics ⋮ Maximal equicontinuous generic factors and weak model sets ⋮ Regionally proximal relation of order \(d\) is an equivalence one for minimal systems and a combinatorial consequence ⋮ Nilsequences and a structure theorem for topological dynamical systems ⋮ Product recurrent properties, disjointness and weak disjointness ⋮ The Regionally Proximal Relation ⋮ Multiple Disjointness for Weakly Mixing Regular Minimal Flows ⋮ Weak disjointness and the equicontinuous structure relation ⋮ Null actions and RIM non-open extensions of strongly proximal actions ⋮ Stronger versions of sensitivity for minimal group actions ⋮ On Katznelson’s Question for skew-product systems

Cites Work

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• Relatively invariant measures
• Weak mixing and a note on a structure theorem for minimal transformation groups
• Proximal flows
• Bohr compactifications and a result of Folner
• On the Existence of Isometric Extensions
• Topological dynamics
• Decomposition Theorem for Bounded Uniformly Continuous Functions on a Group
• Point-Distal Flows
• Weak Disjointness of Transformation Groups
• Generalization of a theorem of Bogolioùboff to topological groups. With an appendix on Banach mean values in nonabelian groups

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