The Dunford-Pettis property in C*-algebras
The Group Property of the Invariant S of von Neumann Algebras.
The injective hull of an archimedean f-algebra
The Linear Groups of Injective Factors and of Matroid C*Algebras are Contractible to a Point.
The N*-Metric Completion of Regular Rings.
The order topology for a von Neumann algebra
The order topology (resp. the sequential order topology ) on a poset P is the topology that has as its closed sets those that contain the order limits of all their order convergent nets (resp. sequences). For a von Neumann algebra M we consider the following three posets: the self-adjoint part , the self-adjoint part of the unit ball , and the projection lattice P(M). We study the order topology (and the corresponding sequential variant) on these posets, compare the order topology to the other...
The reconstruction of local observable algebras from the euclidean Green's functions of relativistic quantum field theory
The relative Dixmier property for inclusions of von Neumann algebras of finite index
The standard form of von Neumann algebras.
The structure of multiplication and addition in simple C*-algebras.
The theorem on unitary equivalence of Fock representations
The Type of Group Measure Space von Neumann Algebras.
The von Neumann algebras generated by -gaussians
We study the -deformation of gaussian von Neumann algebras. They appear as example in the theories of Interacting Fock spaces and conditionally free products. When the number of generators is fixed, it is proved that if is sufficiently close to , then these algebras do not depend on . In the same way, the notion of conditionally free von Neumann algebras often coincides with freeness.
Théorie de Galois pour une W*-Algèbre
Topologies on central extensions of von Neumann algebras
Given a von Neumann algebra M, we consider the central extension E(M) of M. We introduce the topology t c(M) on E(M) generated by a center-valued norm and prove that it coincides with the topology of local convergence in measure on E(M) if and only if M does not have direct summands of type II. We also show that t c(M) restricted to the set E(M)h of self-adjoint elements of E(M) coincides with the order topology on E(M)h if and only if M is a σ-finite type Ifin von Neumann algebra.
Towards a non-selfadjoint version of Kadison's theorem.
Trace inequalities for spaces in spectral duality
Let (A,e) and (V,K) be an order-unit space and a base-norm space in spectral duality, as in noncommutative spectral theory of Alfsen and Shultz. Let t be a norm lower semicontinuous trace on A, and let φ be a nonnegative convex function on ℝ. It is shown that the mapping a → t(φ(a)) is convex on A. Moreover, the mapping is shown to be nondecreasing if so is φ. Some other similar statements concerning traces and real-valued functions are also obtained.
Travaux de Kadison sur les invariants unitaires
Triple derivations on von Neumann algebras
It is well known that every derivation of a von Neumann algebra into itself is an inner derivation and that every derivation of a von Neumann algebra into its predual is inner. It is less well known that every triple derivation (defined below) of a von Neumann algebra into itself is an inner triple derivation. We examine to what extent all triple derivations of a von Neumann algebra into its predual are inner. This rarely happens but it comes close. We prove a (triple) cohomological...
Two-sided ideals in W*-algebras.