On quasi-free Hilbert modules.
On smooth extensions of odd dimensional spheres and multidimensional Helton and Howe formula.
On the Beurling algebras -derivations and extensions.
On the categories and
On the categories and . II
On the cohomology of sheaves SεL
On the embedding and diagonalization of matrices over C(X).
On the extension of continuous linear maps in function spaces and the splitness of Dolbeaut complexes of holomorphic Banach bundles
On the Homotopy Type of the Regular Group of a W*-Algebra.
On the vanishing of cohomology groups with values in a product sheaf.
Operations on continuous bundles of C*-algebras.
Operators, Fuchsian groups and automorphic bundles.
Pairings, duality, amenability and bounded cohomology
We give a new perspective on the homological characterizations of amenability given by Johnson & Ringrose in the context of bounded cohomology and by Block & Weinberger in the context of uniformly finite homology. We examine the interaction between their theories and explain the relationship between these characterizations. We apply these ideas to give a new proof of non-vanishing for the bounded cohomology of a free group.
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...
Quasi-abelian categories and sheaves
Real Banach Algebras. II.
Report on twisted sums of Banach spaces.
This note is to report some of the advances obtained as a follow-up of the book [2] on the topic of twisted sums of Banach spaces. Since this announcement is no longer enough to contain the theory being developed, we submit the interested reader to [2] and to [1], where full details and proofs shall appear.
Representation of sheaves of metric lattices by sections
Resolution of the cohomology comparison problem for amenable Banach algebras.
Section spaces of real analytic vector bundles and a theorem of Grothendieck and Poly
The structure of the section space of a real analytic vector bundle on a real analytic manifold X is studied. This is used to improve a result of Grothendieck and Poly on the zero spaces of elliptic operators and to extend a result of Domański and the author on the non-existence of bases to the present case.