Full factors and co-amenable inclusions
From MaRDI portal
Publication:2192720
DOI10.1007/s00220-020-03816-yzbMath1444.22014arXiv1903.05395OpenAlexW3103675337MaRDI QIDQ2192720
Amine Marrakchi, Narutaka Ozawa, Jon P. Bannon
Publication date: 17 August 2020
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.05395
General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Automorphisms of selfadjoint operator algebras (46L40) Measurable group actions (22F10) Classification of factors (46L36)
Related Items
Centrally free actions of amenable \(\mathrm{C}^*\)-tensor categories on von Neumann algebras ⋮ Relative Haagerup property for arbitrary von Neumann algebras ⋮ Measure equivalence rigidity via s-malleable deformations ⋮ Spectral gap and strict outerness for actions of locally compact groups on full factors ⋮ Existential closedness and the structure of bimodules of \(\mathrm{II}_1\) factors ⋮ Properly proximal von Neumann algebras ⋮ Product rigidity in von Neumann and \(C^*\)-algebras via \(S\)-malleable deformations
Cites Work
- Unnamed Item
- An inner amenable group whose von Neumann algebra does not have property Gamma
- Solidity of type III Bernoulli crossed products
- Cocycle superrigidity for profinite actions of property (T) groups
- Maximal injective subalgebras in factors associated with free groups
- On actions of amenable groups on \(II_ 1\)-factors
- On a class of II\(_1\) factors with at most one Cartan subalgebra
- Action of discrete amenable groups on von Neumann algebras
- Compact ergodic groups of automorphisms
- Central sequences in crossed products of full factors
- Almost periodic states and factors of type III\(_1\)
- Selfpolar forms and their applications to the \(C^*\)-algebra theory
- Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
- A characterization of crossed products of factors by discrete outer automorphism groups
- Fullness and Connes' \(\tau\) invariant of type III tensor product factors
- Caractérisation des espaces vectoriels ordonnés sous jacents aux algèbres de Von Neumann
- Amenable correspondences and approximation properties for von Neumann algebras
- Spectral gap characterization of full type III factors
- Strong rigidity of \(\text{II}_1\) factors arising from malleable actions of \(w\)-rigid groups. I
- On a class of type \(\text{II}_1\) factors with Betti numbers invariants
- Ultraproducts of von Neumann algebras
- On rings of operators. IV
- Inner Amenability and Fullness
- Mixed-norm inequalities and operator space 𝐿_{𝑝} embedding theory
- On the Existence of Central Sequences in Subfactors
- Entropy and index for subfactors
- The standard form of von Neumann algebras.
- Property Γ and Inner Amenability
- Integrable group actions on von Neumann algebras.
- Central Sequences in Subfactors II
- Some applications of freeness with amalgamation
- Crossed-products by locally compact groups: Intermediate subfactors
- Strictly Outer Actions of Groups and Quantum Groups
- Projections from a von Neumann algebra onto a subalgebra
- Cartan subalgebras of amalgamated free product II$_1$ factors
- Rigidity theorems for actions of product groups and countable Borel equivalence relations
- A description of (Cp[Lp(M), Rp[Lp(M)])θ]
