Nonergodic actions, cocycles and superrigidity

zbMath1074.37001arXivmath/0402133MaRDI QIDQ1774344

Dave Witte Morris, Kevin Whyte, David Fisher

Publication date: 9 May 2005

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402133

zbMATH Keywords

locally compact groupBorel cocyclenon-ergodic action

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items

NATURAL MAPS FOR MEASURABLE COCYCLES OF COMPACT HYPERBOLIC MANIFOLDS ⋮ Livšic theorems for Banach cocycles: existence and regularity ⋮ Multiplicative constants and maximal measurable cocycles in bounded cohomology ⋮ Integrable measure equivalence and rigidity of hyperbolic lattices ⋮ Orbit equivalence superrigidity for type III actions ⋮ Global rigidity of higher rank lattice actions with dominated splitting ⋮ Splitting in orbit equivalence, treeable groups, and the Haagerup property ⋮ Equivariant maps for measurable cocycles with values into higher rank Lie groups ⋮ Measure equivalence rigidity of the mapping class group ⋮ Algebraic hull of maximal measurable cocycles of surface groups into Hermitian Lie groups ⋮ Invariants of orbit equivalence relations and Baumslag-Solitar groups ⋮ On the algebraic foundations of bounded cohomology ⋮ Zimmer's conjecture: subexponential growth, measure rigidity, and strong property (T) ⋮ A Matsumoto-Mostow result for Zimmer's cocycles of hyperbolic lattices