Structural results for free Araki–Woods factors and their continuous cores
From MaRDI portal
Publication:3160685
DOI10.1017/S1474748010000058zbMath1207.46057arXiv0812.1325OpenAlexW2963380356MaRDI QIDQ3160685
Publication date: 8 October 2010
Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0812.1325
free Araki-Woods factorsspectral gap property(semi-)solid factorsdeformation/rigidity techniquesintertwining techniques
General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Classification of factors (46L36)
Related Items
A characterization of the fullness of continuous cores of type \(\mathrm{III}_{1}\) free product factors ⋮ Examples of factors which have no Cartan subalgebras ⋮ Approximation properties and absence of Cartan subalgebra for free Araki-Woods factors ⋮ Asymptotic structure of free Araki-Woods factors ⋮ Absence of Cartan subalgebras in continuous cores of free product von Neumann algebras ⋮ Classification of a family of non-almost-periodic free Araki-Woods factors
Cites Work
- Unnamed Item
- Duality for crossed products and the structure of von Neumann algebras of type III
- Some rigidity results for non-commutative Bernoulli shifts
- An example of a solid von Neumann algebra
- Amalgamated free products of weakly rigid factors and calculation of their symmetry groups
- Almost periodic states and factors of type III\(_1\)
- \(A\)-valued semicircular systems
- Interpolated free group factors
- Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index
- Free quasi-free states
- Amalgamated free product over Cartan subalgebra
- Solid von Neumann algebras.
- Amenable correspondences and approximation properties for von Neumann algebras
- The boundary of universal discrete quantum groups, exactness, and factoriality
- Strong rigidity of generalized Bernoulli actions and computations of their symmetry groups
- 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
- Decay measures on locally compact abelian topological groups
- On the superrigidity of malleable actions with spectral gap
- Free Araki-Woods factors and Connes’ bicentralizer problem
- On the classification of full factors of type III
- On a Family of Symmetric Bernoulli Convolutions
