Actions of lattices in Sp (1, n)

DOI10.1017/S0143385700004946zbMath0681.57026OpenAlexW2060441435MaRDI QIDQ4730485

Robert J. Zimmer, Michael G. Cowling

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1017/s0143385700004946

zbMATH Keywords

connectionactions of lattices in the Lie group Sp(1,n)actions preserving a geometric structure on a manifoldvon Neumann algebra associated with an action

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Discontinuous groups of transformations (57S30) Ergodic theory (37A99)

Related Items

On cocycle superrigidity for Gaussian actions, Invariant states and a conditional fixed point property for affine actions, Weak amenability of free products of hyperbolic and amenable groups, Examples of groups which are not weakly amenable, On the structural theory of \(\mathrm{II}_1\) factors of negatively curved groups. II: Actions by product groups, A family of singular oscillatory integral operators and failure of weak amenability, Strong rigidity of \(\text{II}_1\) factors arising from malleable actions of \(w\)-rigid groups. II, Group pairs with property (T), from arithmetic lattices

Cites Work

• Unnamed Item
• On the existence of slices for actions of non-compact Lie groups
• Kazhdan groups acting on compact manifolds
• Strong rigidity for ergodic actions of semisimple Lie groups
• On Groups of Measure Preserving Transformations. I
• Multipliers of the Fourier Algebras of Some Simple Lie Groups and Their Discrete Subgroups
• On the Cohomology of Ergodic Actions of Semisimple Lie Groups and Discrete Subgroups
• A 𝐼𝐼₁ factor with two nonconjugate Cartan subalgebras
• Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. II