Powers's Property and Simple C*-Algebras.
Preliminary algebras arising from local homeomorphisms.
Prime Ideals in the C*-algebra of a Nilpotent Group.
Principe d'Oka, K-théorie et systèmes dynamiques non commutatifs.
Probability interpolating between free and boolean [Book]
Probability measures corresponding to Aval numbers
We describe the class of probability measures whose moments are given in terms of the Aval numbers. They are expressed as the multiplicative free convolution of measures corresponding to the ballot numbers .
Problèmes ergodiques dans la théorie quantique des champs
Problems in the theory of quantum groups
This is a collection of open problems in the theory of quantum groups. Emphasis is given to problems in the analytic aspects of the subject.
Product-type non-commutative polynomial states
In [AnsMonic, AnsBoolean], we investigated monic multivariate non-commutative orthogonal polynomials, their recursions, states of orthogonality, and corresponding continued fraction expansions. In this note, we collect a number of examples, demonstrating what these general results look like for the most important states on non-commutative polynomials, namely for various product states. In particular, we introduce a notion of a product-type state on polynomials, which covers all the non-commutative...
Produit croisé d'une algèbre de Kac par un groupe localement compact
Produits finis de commutateurs dans les -algèbres
Soient une -algèbre approximativement finie simple avec unité, le groupe des inversibles et le groupe des unitaires de . Nous avons défini dans un précédent travail un homomorphisme , appelé déterminant universel de , de sur un groupe abélien associé à . Nous montrons ici que, pour qu’un élément dans ou dans soit produit d’un nombre fini de commutateurs, il (faut et il) suffit que Ceci permet en particulier d’identifier le noyau de la projection canonique On établit aussi...
Progrès récents sur la conjecture de Baum-Connes. Contribution de Vincent Lafforgue
Projections from a von Neumann algebra onto a subalgebra
Projections in C*-Algebras of nilpotent groups.
Projections in full C*-algebras of semisimple Lie groups.
Projective C*-algebras.
Projective tensor products of C*-algebras.
Projectively invariant Hilbert-Schmidt kernels and convolution type operators
We consider positive definite kernels which are invariant under a multiplier and an action of a semigroup with involution, and construct the associated projective isometric representation on a Hilbert C*-module. We introduce the notion of C*-valued Hilbert-Schmidt kernels associated with two sequences and construct the corresponding reproducing Hilbert C*-module. We also discuss projective invariance of Hilbert-Schmidt kernels. We prove that the range of a convolution type operator associated with...
Property T for discrete groups in terms of their regular representation.
Property (T) for ... Factors and unitary representations of Kazhdan groups.