Majorizations for Generalized s-Numbers in Semifinite von Neumann Algebras.
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...
Martingales in Banach *-algebras.
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...
Means and convex combinations of unitary operators.
Mesures de Haar et -couple d’un groupoïde mesuré
Multiplicity Theory Of Projections In Abelian Von Neumann Algebras.
Multipliers of AW*-Algebren.