On the density theorems of Borel und Furstenberg

DOI10.1007/BF02385980zbMath0383.22008MaRDI QIDQ1248721

Martin Moskowitz

Publication date: 1978

Published in: Arkiv för Matematik (Search for Journal in Brave)

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Discrete subgroups of Lie groups (22E40) General properties and structure of complex Lie groups (22E10) General properties and structure of real Lie groups (22E15) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)

Related Items (11)

Analytic density in Lie groups ⋮ An Abstract Borel Density Theorem ⋮ The von Neumann Kernel and Minimally Almost Periodic Groups ⋮ Algebraic hulls and the Følner property ⋮ A simple proof of Borel's density theorem ⋮ The algebraic von Neumann kernel and linear algebraic groups ⋮ Lie groups ⋮ Finiteness results for lattices in certain Lie groups ⋮ Complex analytic geometry of complex parallelizable manifolds ⋮ Zariski density in Lie groups ⋮ Invariant measures for algebraic actions, Zariski dense subgroups and Kazhdan’s property (T)

Cites Work

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• Density properties for certain subgroups of semi-simple groups without compact components
• Some remarks on automorphisms of bounded displacement and bounded cocycles
• Automorphisms, orbits, and homogeneous spaces of non-connected Lie groups
• Unbounded conjugacy classes in Lie groups and location of central measures
• Factor spaces of solvable groups
• L'application exponentielle dans les groupes de Lie résolubles
• Compactness of Certain Homogeneous Spaces of Finite Volume
• A Note on Borel's Density Theorem
• Homogeneous Spaces with Finite Invariant Measure

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