On Groups of Measure Preserving Transformations. II
From MaRDI portal
Publication:5585713
DOI10.2307/2373108zbMath0191.42803OpenAlexW4253369775WikidataQ57255513 ScholiaQ57255513MaRDI QIDQ5585713
Publication date: 1963
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2373108
Related Items (only showing first 100 items - show all)
On non-singular transformations of a measure space. I ⋮ Properly proximal von Neumann algebras ⋮ Von Neumann equivalence and properly proximal groups ⋮ The group of measure-preserving transformations of closed unit interval has no outer automorphism ⋮ Speedups of ergodic group extensions of -actions ⋮ Compact metric spaces, Fredholm modules, and hyperfiniteness ⋮ On the fundamental group of type II 1 factors ⋮ Orbit equivalence and actions of ⋮ Kakutani equivalence for products of some special flows over rotations ⋮ Topological speedups of ℤd-actions ⋮ On the crossed product of abelian von Neumann algebras, I ⋮ Stable decompositions and rigidity for products of countable equivalence relations ⋮ On cocycle superrigidity for Gaussian actions ⋮ A 𝐼𝐼₁ factor with two nonconjugate Cartan subalgebras ⋮ Ergodic group theory ⋮ Perturbations of subalgebras of type II\(_1\) factors ⋮ Ergodic measures are of weak product type ⋮ Isomorphic actions of group extensions on a measure space. ⋮ Trajectory theory ⋮ On the Krieger-Araki-Woods ratio set ⋮ Unnamed Item ⋮ Non-classification of Cartan subalgebras for a class of von Neumann algebras ⋮ Sofic entropy and amenable groups ⋮ Measure equivalence classification of transvection-free right-angled Artin groups ⋮ Lacunary isomorphism of decreasing sequences of measurable partitions ⋮ \(C^\ast\)-algebras generated by mappings. Criterion of irreducibility ⋮ On the work of V. A. Rokhlin in ergodic theory ⋮ Dye's theorem in the almost continuous category ⋮ Smooth orbit equivalence of multidimensional Borel flows ⋮ Conjugacy, orbit equivalence and classification of measure-preserving group actions ⋮ On sofic groupoids and their full groups ⋮ On the conditional expectation of a partial isometry in a certain von Neumann algebra ⋮ Group measure space decomposition of \(\text{II}_{1}\) factors and \(\text W^{*}\)-superrigidity ⋮ Topological properties of complete groups of automorphisms of a measure space ⋮ A correspondence between maximal abelian sub-algebras and linear logic fragments ⋮ The complexity threshold for the emergence of Kakutani inequivalence ⋮ Harmonic means ⋮ Almost continuous orbit equivalence for non-singular homeomorphisms ⋮ On the structural theory of \(\mathrm{II}_1\) factors of negatively curved groups. II: Actions by product groups ⋮ On full groups of non-ergodic probability-measure-preserving equivalence relations ⋮ Tout feuilletage à croissance polynomiale est hyperfini ⋮ Nonsingular dynamical systems, Bratteli diagrams and Markov odometers ⋮ Families of type III\(_{0}\) ergodic transformations in distinct orbit equivalent classes ⋮ Orbit equivalence of \(p\)-adic transformations and their iterates ⋮ Amalgamated free products of weakly rigid factors and calculation of their symmetry groups ⋮ Subrelations of ergodic equivalence relations ⋮ Topological full groups of ample groupoids with applications to graph algebras ⋮ The number of topological generators for full groups of ergodic equivalence relations ⋮ Minimal topological actions do not determine the measurable orbit equivalence class ⋮ Ergodic equivalence relations, cohomology, and von Neumann algebras ⋮ Cocycle and orbit equivalence superrigidity for malleable actions of \(w\)-rigid groups ⋮ On automorphisms of von Neumann algebras constructed by measure space transformations. I ⋮ Strong rigidity of generalized Bernoulli actions and computations of their symmetry groups ⋮ Topological properties of full groups ⋮ Polish groups and Baire category methods ⋮ Ergodic theory, group representations, and rigidity ⋮ Topological realizations of families of ergodic automorphisms, multitowers and orbit equivalence ⋮ Orbit equivalence rigidity for ergodic actions of the mapping class group ⋮ Some OE- and \(W^{\ast}\)-rigidity results for actions by wreath product groups ⋮ L2-TORSION, THE MEASURE-THEORETIC DETERMINANT CONJECTURE, AND UNIFORM MEASURE EQUIVALENCE ⋮ Measure conjugacy invariants for actions of countable sofic groups ⋮ Four definitions of the scale of an automorphism ⋮ Pointwise ergodic theorems beyond amenable groups ⋮ On approximately finite algebras ⋮ Measure equivalence rigidity of the mapping class group ⋮ Baumslag-Solitar groups, relative profinite completions and measure equivalence rigidity ⋮ A converse to Dye’s theorem ⋮ Relative property (T) for the subequivalence relations induced by the action of SL\(_2(\mathbb Z)\) on \(\mathbb T^2\) ⋮ Measure free factors of free groups. ⋮ Strong rigidity of \(\text{II}_1\) factors arising from malleable actions of \(w\)-rigid groups. II ⋮ Ergodic subequivalence relations induced by a Bernoulli action ⋮ The orbital equivalence of Bernoulli actions and their Sinai factors ⋮ On the superrigidity of malleable actions with spectral gap ⋮ Measure space automorphisms, the normalizers of their full groups, and approximate finiteness ⋮ Representing interpolated free group factors as group factors ⋮ Behaviour of entropy under bounded and integrable orbit equivalence ⋮ Measure equivalence and coarse equivalence for unimodular locally compact groups ⋮ \(C^\ast\)-algebras generated by mappings. Classification of invariant subspaces ⋮ Kakutani equivalence of unipotent flows ⋮ Orbit structure and countable sections for actions of continuous groups ⋮ The Rohlin tower theorem and hyperfiniteness for actions of continuous groups ⋮ A Galois correspondence in a von Neumann algebra ⋮ Full groups of minimal homeomorphisms and Baire category methods ⋮ Invariants of orbit equivalence relations and Baumslag-Solitar groups ⋮ Full groups of Cantor minimal systems ⋮ On a question of D. Shlyakhtenko ⋮ Weak density of orbit equivalence classes of free group actions ⋮ Examples in the entropy theory of countable group actions ⋮ Low degree bounded cohomology and \(L^{2}\)-invariants for negatively curved groups ⋮ On the isomorphy problem for ergodic equivalence relations ⋮ Operator algebras and measure preserving automorphisms ⋮ STRUCTURE RESULTS FOR NORMALIZERS OF II1 FACTORS ⋮ Maximal Abelian subalgebras of hyperfinite factors. II ⋮ On subalgebras of a cross product von Neumann algebra ⋮ On types over von Neumann subalgebras and the Dye correspondence ⋮ On constructing non-\(^ *\)isomorphic hyperfinite factors of type III ⋮ On a class of hyperfinite factors that arise from null-recurrent Markov chains ⋮ Tensor and cross products of factors of type III ⋮ All properly ergodic Markov chains over a free group are orbit equivalent ⋮ Hyperfinite factors of types II\(_\infty\) and III
This page was built for publication: On Groups of Measure Preserving Transformations. II