The Structure of Hyperfinite Borel Equivalence Relations
From MaRDI portal
Publication:4286439
DOI10.2307/2154620zbMath0803.28009OpenAlexW4232666767MaRDI QIDQ4286439
Randall Dougherty, Steve Jackson, Alexander S. Kechris
Publication date: 19 December 1994
Full work available at URL: https://doi.org/10.2307/2154620
Related Items
The classification problem for torsion-free abelian groups of finite rank, Coboundaries of commuting Borel automorphisms, On spectral properties of the Schreier graphs of the Thompson group đš, Topological isomorphism for rank-1 systems, Isomorphism of subshifts is a universal countable Borel equivalence relation, Borel reducibility as an additive property of domains, New jump operators on equivalence relations, On geodesic ray bundles in hyperbolic groups, Descriptive Kakutani equivalence, Harmonic analysis on graphs via Bratteli diagrams and path-space measures, COUNTABLE BOREL EQUIVALENCE RELATIONS, Dichotomy theorems for families of non-cofinal essential complexity, Borel equivalence relations and cardinal algebras, Equivalence of generics, Invariant random subgroups of strictly diagonal limits of finite symmetric groups, Equilibria Existence in Bayesian Games: Climbing the Countable Borel Equivalence Relation Hierarchy, Orbit equivalence for Cantor minimal \(\mathbb Z^d\)-systems, Smooth orbit equivalence of multidimensional Borel flows, Equivalence relations and determinacy, On the complexity of topological conjugacy of Toeplitz subshifts, The complexity of the topological conjugacy problem for Toeplitz subshifts, Abelian group actions and hypersmooth equivalence relations, Universal adic approximation, invariant measures and scaled entropy, Finite factor representations of Higman-Thompson groups., Quotients by countable normal subgroups are hyperfinite, Essential countability of treeable equivalence relations, Cardinal characteristics and countable Borel equivalence relations, The classification problem for \(S\)-local torsion-free abelian groups of finite rank, Rotation equivalence and cocycle superrigidity, Uniformly recurrent subgroups and simple \(C^{\ast}\)-algebras, Every CBER is smooth below the CarlsonâSimpson generic partition, Lebesgue orbit equivalence of multidimensional Borel flows: A picturebook of tilings, Incomparable actions of free groups, The theory of filtrations of subalgebras, standardness, and independence, Borel structures on the space of leftâorderings, Borel asymptotic dimension and hyperfinite equivalence relations, Hyperfiniteness of boundary actions of acylindrically hyperbolic groups, Universal Borel actions of countable groups, Substitution-dynamics and invariant measures for infinite alphabet-path space, Group Colorings and Bernoulli Subflows, Isometry of Polish metric spaces, Pointwise ergodic theorem for locally countable quasi-pmp graphs, The action of $SL(2,\mathbb {Z})$ on the subsets of $\mathbb {Z}^2$, Discontinuous homomorphisms, selectors, and automorphisms of the complex field, The classification of hypersmooth Borel equivalence relations, Non-treeability for product group actions, Minimal topological actions do not determine the measurable orbit equivalence class, Topological full groups of minimal subshifts and the classification problem for finitely generated complete groups, Marked groups with isomorphic Cayley graphs but different Borel combinatorics, A brief introduction to amenable equivalence relations, A BRATTELI DIAGRAM FOR COMMUTING HOMEOMORPHISMS OF THE CANTOR SET, Borel structurability by locally finite simplicial complexes, Hyperfiniteness of boundary actions of cubulated hyperbolic groups, On the complexity of the uniform homeomorphism relation between separable Banach spaces, A descriptive view of unitary group representations, Countable Sections for Locally Compact Group Actions. II, A method of defining central and Gibbs measures and the ergodic method, Orthogonal measures and ergodicity, Decompositions and measures on countable Borel equivalence relations, Wandering sets for a class of Borel isomorphisms of \([0,1)\), Regular cross sections of Borel flows, On equivalence relations generated by Cauchy sequences in countable metric spaces, MEASURABLE PERFECT MATCHINGS FOR ACYCLIC LOCALLY COUNTABLE BOREL GRAPHS, Invariant measures on stationary Bratteli diagrams, A Paradox Arising from the Elimination of a Paradox, On the complexity of the isomorphism relation for fields of finite transcendence degree, On the unique representation of families of sets, The work of Mike Hochman on multidimensional symbolic dynamics and Borel dynamics, Borel equivalence relations and classifications of countable models, Countable abelian group actions and hyperfinite equivalence relations, Popa superrigidity and countable Borel equivalence relations, Positive entropy actions of countable groups factor onto Bernoulli shifts, On the existence of cocycle-invariant Borel probability measures, Hyperfiniteness and Borel combinatorics, On the complexity of the classification problem for torsion-free abelian groups of rank two., On time change equivalence of Borel flows, On the classification of vertex-transitive structures, A coloring property for countable groups, Borel chromatic numbers, Unicorn paths and hyperfiniteness for the mapping class group, Cohomology of hyperfinite Borel actions, Martin's conjecture and strong ergodicity, Continuous versus Borel reductions, Rigidity properties of Borel ideals on the integers, Hyperfiniteness of boundary actions of hyperbolic groups, On the complexity of the isomorphism relation for finitely generated groups, Equitable colourings of Borel graphs, Linear algebraic groups and countable Borel equivalence relations, Cantor aperiodic systems and Bratteli diagrams, Unnamed Item, Superrigidity and countable Borel equivalence relations, Uniformity, universality, and computability theory, On the classification of automorphisms of trees
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the existence of a finite invariant measure
- Mathematical problems and games
- A descriptive version of Ambrose's representation theorem for flows
- Descriptive set theory
- On ergodic flows and the isomorphism of factors
- On orbit equivalence of Borel automorphisms
- Transformation groups and \(C^ *\)-algebras
- On quasi-invariant measures in uniquely ergodic systems
- The construction of quasi-invariant measures
- Ergodic theorem without invariant measure
- On Groups of Measure Preserving Transformations. I
- Amenable equivalence relations and Turing degrees
- Measurable dynamics
- An Equivalence Relation that is not Freely Generated
- An amenable equivalence relation is generated by a single transformation
- A Glimm-Effros Dichotomy for Borel Equivalence Relations
- Countable sections for locally compact group actions
- Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. I
- THE ACTION OFPSL(2,Z) INR1IS APPROXIMABLE
- Generic Dynamics and Monotone Complete C â -Algebras
- On non-singular transformations of a measure space. I
- Groups of Automorphisms of Borel Spaces