Indice d'une espérance conditionnelle
Intégration non commutative représentation projective d’espaces
Interprétation probabiliste et extension des intégrales stochastiques non commutatives
Isometries of Non-Commutative Lorentz Spaces.
Isomorphism Between the Associative and Non-Associative Lp-Spaces of Type II1 Hyperfinite Factors.
Jauch-Piron states on von Neumann algebras.
Kernel Operators on Lp-spaces Associated with Semifinite von Neumann Algebras.
KMS-symmetric Markov semigroups.
Kolmogoroff consistency theorem for Gleason measures
Krein-space operators determined by free product algebras induced by primes and graphs
In this paper, we introduce certain Krein-space operators induced by free product algebras induced by both primes and directed graphs. We study operator-theoretic properties of such operators by computing free-probabilistic data containing number-theoretic data.
La stabilité des espaces L... non-commutatifs.
Laws of large numbers in von Neumann algebras and related results
Les systèmes-produits et l'espace de Fock, d'après W. Arveson
Limit laws for products of free and independent random variables
We determine the distributional behavior of products of free (in the sense of Voiculescu) identically distributed random variables. Analogies and differences with the classical theory of independent random variables are then discussed.
Limit laws for Random matrices and free products.
Limit Measures Related to the Conditionally Free Convolution
We describe the limit measures for some class of deformations of the free convolution, introduced by A. D. Krystek and Ł. J. Wojakowski. In particular, we provide a counterexample to a conjecture from their paper.
Markov chains as Evans-Hudson diffusions in Fock space
Markovian processes on mutually commuting von Neumann algebras
The aim of this paper is to study markovianity for states on von Neumann algebras generated by the union of (not necessarily commutative) von Neumann subagebras which commute with each other. This study has been already begun in [2] using several a priori different notions of noncommutative markovianity. In this paper we assume to deal with the particular case of states which define odd stochastic couplings (as developed in [3]) for all couples of von Neumann algebras involved. In this situation...
Martin boundary theory of some quantum random walks
Matrices induced by arithmetic functions, primes and groupoid actions of directed graphs
In this paper, we study groupoid actions acting on arithmetic functions. In particular, we are interested in the cases where groupoids are generated by directed graphs. By defining an injective map α from the graph groupoid G of a directed graph G to the algebra A of all arithmetic functions, we establish a corresponding subalgebra AG = C*[α(G)]︀ of A. We construct a suitable representation of AG, determined both by G and by an arbitrarily fixed prime p. And then based on this representation, we...