Crossed Products of Communtation Systems.
Decomposition and disintegration of positive definite kernels on convex *-semigroups
The paper deals with operator-valued positive definite kernels on a convex *-semigroup whose Kolmogorov-Aronszajn type factorizations induce *-semigroups of bounded shift operators. Any such kernel Φ has a canonical decomposition into a degenerate and a nondegenerate part. In case is commutative, Φ can be disintegrated with respect to some tight positive operator-valued measure defined on the characters of if and only if Φ is nondegenerate. It is proved that a representing measure of a positive...
Décomposition et classification des systèmes dynamiques
Deformation of involution and multiplication in a C*-algebra
We investigate the deformations of involution and multiplication in a unital C*-algebra when its norm is fixed. Our main result is to present all multiplications and involutions on a given C*-algebra 𝓐 under which 𝓐 is still a C*-algebra when we keep the norm unchanged. For each invertible element a ∈ 𝓐 we also introduce an involution and a multiplication making 𝓐 into a C*-algebra in which a becomes a positive element. Further, we give a necessary and sufficient condition for the center of...
Determinant lines, von Neumann algebras and L2 torsion.
Dimension Functions on Simple C*-Algebras.
Direct Integrals of Hilbert Spaces II.
Direct Integrals of Left Hubert Algebras.
Direct Integrals of Locally Measurable Operators.
Direct Integrals of Selfdual Cones and Standard Forms of Neumann Algebras.
Direkte Integrale von Hilbertalgebren.
Division Rings and Group von Neumann Algebras.
Duality in the theory of crossed products.
Egorov's type convergence in the Dedekind completion of a C*-algebra
Eine Verallgemeinerung eines Satzes von N. Kuiper.
Éléments positifs relatifs à une algèbre hilbertienne à gauche
Entropie libre et algèbres d'opérateurs
Equivalence in Operator Algebras.
Ergodic Theorem for Convex Sets and Operator Algebras.
Ergodic Theorems for Noncommutative Dynamical Systems.