Generalized Weyl-von Neumann Theorems (II).
Geometric aspects of the Tomita-Takesaki theory I.
Geometric aspects of the Tomita-Takesaki theory II.
Geometric -homolgy and controlled paths.
Géométrie non commutative, opérateur de signature transverse et algèbres de Hopf
Geometry of numerical ranges in locally -convex *-algebras.
Geometry of oblique projections
Let A be a unital C*-algebra. Denote by P the space of selfadjoint projections of A. We study the relationship between P and the spaces of projections determined by the different involutions induced by positive invertible elements a ∈ A. The maps sending p to the unique with the same range as p and sending q to the unitary part of the polar decomposition of the symmetry 2q-1 are shown to be diffeomorphisms. We characterize the pairs of idempotents q,r ∈ A with ||q-r|| < 1 such that...
Geometry on the space of positive functions.
Gleason measures and some inner products on the algebra of bounded operators on a Hilbert space
Gleason theorem for signed measures with infinite values
Graphs having no quantum symmetry
We consider circulant graphs having vertices, with prime. To any such graph we associate a certain number , that we call type of the graph. We prove that for the graph has no quantum symmetry, in the sense that the quantum automorphism group reduces to the classical automorphism group.
Grothendieck's theorem and factorization for operators in Jordan triples.
Group -algebras as compact quantum metric spaces.
Group C*-algebras satisfying Kadison's conjecture
We tackle R. V. Kadison’s similarity problem (i.e. any bounded representation of any unital C*-algebra is similar to a *-representation), paying attention to the class of C*-unitarisable groups (those groups G for which the full group C*-algebra C*(G) satisfies Kadison’s problem) and thereby we establish some stability results for Kadison’s problem. Namely, we prove that inherits the similarity problem from those of the C*-algebras A and B, provided B is also nuclear. Then we prove that G/Γ is...
Group cohomology and the cyclic cohomology of crossed products.
Groupe modulaire d'une espérance conditionnelle dans une algèbre de von Neumann
Groupes fondamentaux des variétés de dimension et algèbres d’opérateurs
Nous proposons une caractérisation géométrique des variétés de dimension ayant des groupes fondamentaux dont toutes les classes de conjugaison autres que sont infinies, c’est-à-dire dont les algèbres de von Neumann sont des facteurs de type : ce sont essentiellement les -variétés à groupes fondamentaux infinis qui n’admettent pas de fibration de Seifert. Autrement dit et plus précisément, soient une -variété connexe compacte et son groupe fondamental, qu’on suppose être infini et avec...
Groupoid -algebras.
Groupoids and compact quantum groups
Groups acting on products of trees, tiling systems and analytic -theory.