Factoriality, type classification and fullness for free product von Neumann algebras
arXiv:1011.5017 · doi:10.1016/j.aim.2011.07.017
Abstract
We give a complete answer to the questions of factoriality, type classification and fullness for arbitrary free product von Neumann algebras.
20 pages; to appear in Adv. Math
References in corpus (6)
- Examples of groups which are not weakly amenable
- Approximation properties and absence of Cartan subalgebra for free Araki-Woods factors
- Bass-Serre rigidity results in von Neumann algebras
- HNN Extensions of von Neumann Algebras
- On some free products of von Neumann algebras which are free Araki-Woods factors
- Free products of hyperfinite von Neumann algebras and free dimension
Cited by in corpus (17)
- Amalgamated free product type III factors with at most one Cartan subalgebra
- Asymptotic structure of free product von Neumann algebras
- Amenable absorption in amalgamated free product von Neumann algebras
- Rigidity of free product von Neumann algebras
- Gamma stability in free product von Neumann algebras
- Duality for optimal couplings in free probability
- Absence of Cartan subalgebras for right-angled Hecke von Neumann algebras
- Structure of bicentralizer algebras and inclusions of type III factors
- Structure of extensions of free Araki-Woods factors
- Connes' bicentralizer problem for q-deformed Araki-Woods algebras
- A characterization of fullness of continuous cores of type III free product factors
- Free independence in ultraproduct von Neumann algebras and applications
- Factoriality, Connes' type III invariants and fullness of amalgamated free product von Neumann algebras
- Unique prime factorization for infinite tensor product factors
- Orbital free pressure and its Legendre transform
- A free product pair rigidity result in von Neumann algebras
- Absence of Cartan subalgebras in continuous cores of free product von Neumann algebras