Standard and split inclusions of von Neumann algebras.
Strong Clustering in Type III Entropic K-Systems.
Sur le type du produit croisé d'une algèbre de von Neumann par un groupe localement compact
Symmetrized non-commutative tori.
Takesaki's duality for a non-degenerate co-action.
The existence of angular derivatives of holomorphic maps of Siegel domains in a generalization of -algebras
The aim of this paper is to start a systematic investigation of the existence of angular limits and angular derivatives of holomorphic maps of infinite dimensional Siegel domains in -algebras. Since -algebras are natural generalizations of -algebras, -algebras, -algebras, ternary algebras and complex Hilbert spaces, various significant results follow. Examples are given.
The group of automorphisms of is algebraically reflexive
We study the reflexivity of the automorphism (and the isometry) group of the Banach algebras for various measures μ. We prove that if μ is a non-atomic σ-finite measure, then the automorphism group (or the isometry group) of is [algebraically] reflexive if and only if is *-isomorphic to . For purely atomic measures, we show that the group of automorphisms (or isometries) of is reflexive if and only if Γ has non-measurable cardinal. So, for most “practical” purposes, the automorphism group...
The intrinsic invariant of an approximately finite dimensional factor and the cocycle conjugacy of discrete amenable group actions.
The Rohlin property for automorphisms of UHF algebras.
The set of automorphisms of B(H) is topologically reflexive in B(B(H))
The aim of this paper is to prove the statement announced in the title which can be reformulated in the following way. Let H be a separable infinite-dimensional Hilbert space and let Φ: B(H) → B(H) be a continuous linear mapping with the property that for every A ∈ B(H) there exists a sequence of automorphisms of B(H) (depending on A) such that . Then Φ is an automorphism. Moreover, a similar statement holds for the set of all surjective isometries of B(H).
Tracial states on crossed products associated with Furstenberg transformations on the 2-torus
Transpositions of UHF algebras.
Two characterizations of automorphisms on B(X)
Let X be an infinite-dimensional Banach space, and let ϕ be a surjective linear map on B(X) with ϕ(I) = I. If ϕ preserves injective operators in both directions then ϕ is an automorphism of the algebra B(X). If X is a Hilbert space, then ϕ is an automorphism of B(X) if and only if it preserves surjective operators in both directions.
Universally weakly inner one-parameter automorphism groups of seperable C*-algebras, II.
Universally weakly inner one-parameter automorphism groups of seperable C*-algebras.
Von Neumann algebras generated by representations of nilpotent groups