On ergodic quasi-invariant measures of group automorphism

DOI10.1007/BF02761685zbMath0553.28015OpenAlexW2082322124MaRDI QIDQ802030

Shrikrishna G. Dani

Publication date: 1982

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02761685

zbMATH Keywords

ergodic measuresisotopic subgroups of probabilities on algebraic homogeneous spacesquasi invariant measures of automorphisms of noncompact Lie groupstranslation of a compact group

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) General groups of measure-preserving transformations (28D15) Analysis on real and complex Lie groups (22E30) Measures on groups and semigroups, etc. (43A05)

Related Items (21)

Superrigidity of lattices in solvable Lie groups ⋮ On the factor sets of measures and local tightness of convolution semigroups over Lie groups ⋮ Algebraic hulls and the Følner property ⋮ Invariance groups and convergence of types of measures on Lie groups ⋮ Rigid geometric structures, isometric actions, and algebraic quotients ⋮ Strong relative property \((T)\) and spectral gap of random walks ⋮ On the embeddability of certain infinitely divisible probability measures on Lie groups ⋮ On automorphism groups of connected Lie groups ⋮ Properly discontinuous groups acting on certain matrix homogeneous spaces ⋮ Relative Property (T) for nilpotent subgroups ⋮ On ergodic \(\mathbb Z^d\)-actions on Lie groups by automorphisms ⋮ Measurable Quotients of Unipotent Translations on Homogeneous Spaces ⋮ Selfdecomposable measures on simply connected nilpotent groups ⋮ A characterization of the Cauchy-type distributions on boundaries of semisimple groups ⋮ Minimality and unique ergodicity for subgroup actions ⋮ An embedding theorem for automorphism groups of Cartan geometries ⋮ BOREL DENSITY FOR APPROXIMATE LATTICES ⋮ The central limit problem on locally compact groups ⋮ Factors, roots and embeddability of measures on Lie groups ⋮ Zariski density in Lie groups ⋮ Invariant measures for algebraic actions, Zariski dense subgroups and Kazhdan’s property (T)

Cites Work

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• Amenable subgroups of semi-simple groups and proximal flows
• A simple proof of Borel's density theorem
• On automorphisms of a locally compact group
• Ergodicity of Flows on Homogeneous Spaces
• On Affine Transformations of Locally Compact Groups
• Locally Compact Transformation Groups

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