Outer automorphism groups of some ergodic equivalence relations
From MaRDI portal
Publication:1772475
DOI10.4171/CMH/10zbMath1067.37005arXivmath/0312346OpenAlexW1988844461MaRDI QIDQ1772475
Publication date: 18 April 2005
Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0312346
latticesouter automorphismsmeasure-preserving actionhigher rank Lie groupergodic convergence relations
General groups of measure-preserving transformations (28D15) Discrete subgroups of Lie groups (22E40) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)
Related Items
Free product actions with relative property (T) and trivial outer automorphism groups ⋮ Strong ergodicity, property (T), and orbit equivalence rigidity for translation actions ⋮ The classification problem for \(S\)-local torsion-free abelian groups of finite rank ⋮ Borel reductions of profinite actions of SL\(_n(\mathbb Z)\) ⋮ Amalgamated free products of weakly rigid factors and calculation of their symmetry groups ⋮ Cocycle and orbit equivalence superrigidity for malleable actions of \(w\)-rigid groups ⋮ Strong rigidity of generalized Bernoulli actions and computations of their symmetry groups ⋮ Orbit equivalence and Borel reducibility rigidity for profinite actions with spectral gap ⋮ Approximate equivalence of group actions ⋮ Cocycle superrigidity for profinite actions of property (T) groups ⋮ Actions of $\mathbb {F}_\infty $ whose II$_1$ factors and orbit equivalence relations have prescribed fundamental group ⋮ Strong rigidity of \(\text{II}_1\) factors arising from malleable actions of \(w\)-rigid groups. II ⋮ Product groups acting on manifolds
