First \(\ell^2\)-Betti numbers and proper proximality
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Publication:6189380
DOI10.1016/j.aim.2023.109467arXiv2211.05951OpenAlexW4390780045MaRDI QIDQ6189380
Publication date: 8 February 2024
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.05951
Geometric group theory (20F65) Ergodicity, mixing, rates of mixing (37A25) General theory of von Neumann algebras (46L10) Ergodic theory on groups (22D40) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25)
Cites Work
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- Some unique group-measure space decomposition results
- Compact actions and uniqueness of the group measure space decomposition of II\(_{1}\) factors
- On solid ergodicity for Gaussian actions
- Unique Cartan decomposition for \(\mathrm{II}_1\) factors
- Maximal amenable von Neumann subalgebras arising from maximal amenable subgroups
- On a class of II\(_1\) factors with at most one Cartan subalgebra
- \(L^2\)-Betti numbers of one-relator groups.
- \(L^{2}\)-rigidity in von Neumann algebras
- One-cohomology and the uniqueness of the group measure space decomposition of a II\(_{1}\) factor
- Uniqueness of the group measure space decomposition for Popa's \({\mathcal{HT}}\) factors
- Unique Cartan decomposition for \(\mathrm{II}_1\) factors arising from arbitrary actions of free groups
- Invariant means and the structure of inner amenable groups
- A new lattice invariant for lattices in totally disconnected locally compact groups
- The Novikov conjecture for linear groups
- \(W^\ast\)-superrigidity of mixing Gaussian actions of rigid groups
- On the structural theory of \(\mathrm{II}_1\) factors of negatively curved groups. II: Actions by product groups
- Cocycle and orbit equivalence superrigidity for malleable actions of \(w\)-rigid groups
- Weakly exact von Neumann algebras
- Strong rigidity of \(\text{II}_1\) factors arising from malleable actions of \(w\)-rigid groups. I
- Strong rigidity of \(\text{II}_1\) factors arising from malleable actions of \(w\)-rigid groups. II
- On a class of type \(\text{II}_1\) factors with Betti numbers invariants
- Exactness of one relator groups
- On cocycle superrigidity for Gaussian actions
- On the superrigidity of malleable actions with spectral gap
- Rigidity for von Neumann algebras and their invariants
- W*–superrigidity for Bernoulli actions of property (T) groups
- Injectivity, crossed products, and amenable group actions
- On a class of II<sub xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub> factors with at most one Cartan subalgebra, II
- Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. II
- On the structural theory of $\rm II_1$ factors of negatively curved groups
- Properly proximal groups and their von Neumann algebras
- Cartan subalgebras of amalgamated free product II$_1$ factors
- On Popa's Cocycle Superrigidity Theorem
- Automorphisms of Finite Factors
- Ergodic Theory
- Measure equivalence rigidity via s-malleable deformations
