Brascamp--Lieb inequalities for non-commutative integration.
Calcul stochastique non commutatif
Canonical functional extensions on von Neumann algebras
The topology and the structure of the set of the canonical extensions of positive, weakly continuous functionals from a von Neumann subalgebra to a von Neumann algebra M are described.
Centrally determined states on von Neumann algebras
It is shown that every von Neumann algebra whose centre determines the state space is already abelian.
Characterization of L...(M) for injective W*-algebras M.
Classification of injective factors: The work of Alain Connes.
Completely 1-complemented subspaces of the Schatten spaces
We describe the subspaces of (1 ≤ p ≠ 2 < ∞) which are the range of a completely contractive projection.
Completely positive maps on Coxeter groups and the ultracontractivity of the q-Ornstein-Uhlenbeck semigroup
Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces.
Conditional Expectation and Bicontractive Projections on Jordan C*-algebras and Their Generalizations.
Construction de solutions d'«équations de structure»
Continuity and linear extensions of quantum measures on Jordan operator algebras.
Contracctive projections on operator triple systems.
Correction : «Éléments de probabilités quantiques. Calculs antisymétriques et «supersymétriques» en probabilités»
Corrections : «Éléments de probabilités quantiques (exposés I à V)»
Dilation theorems for completely positive maps and map-valued measures
The Stinespring theorem is reformulated in terms of conditional expectations in a von Neumann algebra. A generalisation for map-valued measures is obtained.
Double Operator Integrals and Submajorization
We present a user-friendly version of a double operator integration theory which still retains a capacity for many useful applications. Using recent results from the latter theory applied in noncommutative geometry, we derive applications to analogues of the classical Heinz inequality, a simplified proof of a famous inequality of Birman-Koplienko-Solomyak and also to the Connes-Moscovici inequality. Our methods are sufficiently strong to treat these...
Éléments de probabilités quantiques (exposés VI à VIII)
Éléments de probabilités quantiques. X. Approximation de l'oscillateur harmonique (d'après L. Accardi et A. Bach)
Éléments de probabilités quantiques. XI. Caractérisation des lois de Bernoulli quantiques d'après K. R. Parthasarathy