Classification of a family of non-almost-periodic free Araki-Woods factors
From MaRDI portal
Publication:2327709
DOI10.4171/JEMS/898zbMath1434.46037arXiv1605.06057OpenAlexW2963753894MaRDI QIDQ2327709
Stefaan Vaes, Cyril Houdayer, Dimitri Shlyakhtenko
Publication date: 15 October 2019
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.06057
free Araki-Woods factorstype III factorsPopa's deformation/rigidity theoryfree product von Neumann algebras
General theory of von Neumann algebras (46L10) Classification of factors (46L36) Free products of (C^*)-algebras (46L09)
Related Items (6)
Unitary conjugacy for type III subfactors and \(W^\ast\)-superrigidity ⋮ Classification results for nonsingular Bernoulli crossed products ⋮ On the commutants of generators of \(q\)-deformed Araki-Woods von Neumann algebras ⋮ Free products of finite-dimensional and other von Neumann algebras in terms of free Araki-Woods factors ⋮ Factoriality, Connes' type III invariants and fullness of amalgamated free product von Neumann algebras ⋮ Structure of extensions of free Araki-Woods factors
Cites Work
- Unnamed Item
- Unnamed Item
- Unique prime factorization and bicentralizer problem for a class of type III factors
- Structure of modular invariant subalgebras in free Araki-Woods factors
- Approximation properties and absence of Cartan subalgebra for free Araki-Woods factors
- Connes' bicentralizer problem and uniqueness of the injective factor of type \(III_ 1\)
- Operator valued weights in von Neumann algebras. I
- Free products of hyperfinite von Neumann algebras and free dimension
- Almost periodic states and factors of type III\(_1\)
- On ergodic flows and the isomorphism of factors
- A Galois correspondence for compact groups of automorphisms of von Neumann algebras with a generalization to Kac algebras
- \(A\)-valued semicircular systems
- Free quasi-free states
- Theory of operator algebras. II
- Solid von Neumann algebras.
- 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
- Representations of uniformly hyperfinite algebras and their associated von Neumann rings
- Structural results for free Araki–Woods factors and their continuous cores
- Free Araki-Woods factors and Connes’ bicentralizer problem
- The Fundamental Group of the Von Neumann Algebra of a Free Group with Infinitely Many Generators is ℝ + \{0}
- On the disjointness problem for Gaussian automorphisms
- Free products of finite dimensional and other von Neumann algebras with respect to non-tracial states
- Some applications of freeness with amalgamation
- 1-Bounded entropy and regularity problems in von Neumann algebras
- On the classification of full factors of type III
- Une classification des facteurs de type ${\rm III}$
- Rigidity of free product von Neumann algebras
- On Some Free Products of Von Neumann Algebras which are Free Araki-Woods Factors
This page was built for publication: Classification of a family of non-almost-periodic free Araki-Woods factors
