Weak containment in the space of actions of a free group
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Publication:1760368
DOI10.1007/s11856-011-0182-6zbMath1273.37003OpenAlexW1963528753MaRDI QIDQ1760368
Publication date: 13 November 2012
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://authors.library.caltech.edu/32467/
Measure-preserving transformations (28D05) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) General groups of measure-preserving transformations and dynamical systems (37A15)
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Cites Work
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- Rank gradient, cost of groups and the rank versus Heegaard genus problem
- An example of a solid von Neumann algebra
- Measures invariant under actions of \(F_ 2\)
- Amalgamated free products of weakly rigid factors and calculation of their symmetry groups
- Relative property (T) for the subequivalence relations induced by the action of SL\(_2(\mathbb Z)\) on \(\mathbb T^2\)
- Ergodic subequivalence relations induced by a Bernoulli action
- Irreducibility of unitary group representations and reproducing kernels Hilbert spaces. Appendix on two point homogeneous compact ultrametric spaces in collaboration with Rostislav Grigorchuk.
- Topics in orbit equivalence
- Cost of equivalence relations and groups
- EVERY COUNTABLE GROUP HAS THE WEAK ROHLIN PROPERTY
- Amenable actions, free products and a fixed point property
- Mixing actions of groups with the Haagerup approximation property
- Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. I
- A converse to Dye’s theorem
- Bernoulli actions are weakly contained in any free action
- Amenable actions and almost invariant sets
