Homomorphisms between -algebras and their stabilities.
Homomorphisms between Lie -algebras and Cauchy-Rassias stability of Lie -algebra derivations.
Homomorphisms of -algebras of locally measurable operators.
Homotopy classes of elliptic transmission problems over -algebras.
Homotopy invariance of foliation Betti numbers.
Homotopy invariance of higher signatures and -manifold groups
For closed oriented manifolds, we establish oriented homotopy invariance of higher signatures that come from the fundamental group of a large class of orientable -manifolds, including the “piecewise geometric” ones in the sense of Thurston. In particular, this class, that will be carefully described, is the class of all orientable -manifolds if the Thurston Geometrization Conjecture is true. In fact, for this type of groups, we show that the Baum-Connes Conjecture With Coefficients holds. The...
Homotopy invariance of relative eta-invariants and -algebra -theory.
Homotopy invariance of twisted higher signatures on manifolds with boundary
Homotopy of projections and factorization in the unitary group of certain C*-algebras.
How small is the phase space in quantum field theory ?
How to solve an operator equation.
This article summarizes a series of lectures delivered at the Mathematics Department of the University of Leipzig, Germany, in April 1991, which were to overview techniques for solving operator equations on C*-algebras connected with methods developed in a Spanish-German research project on "Structure and Applications of C*-Algebras of Quotients" (SACQ). One of the researchers in this project was Professor Pere Menal until his unexpected death this April. To his memory this paper shall be dedicated....
Hyperbolic geometry on noncommutative balls.
Hypercontractivité pour les fermions, d'après Carlen-Lieb
Hyperfinite Factors and Amenable Ergodic Actions.
Ideal perturbations of elements in C*-Algebras.
Ideals and hereditary subalgebras in operator algebras
This paper may be viewed as having two aims. First, we continue our study of algebras of operators on a Hilbert space which have a contractive approximate identity, this time from a more Banach-algebraic point of view. Namely, we mainly investigate topics concerned with the ideal structure, and hereditary subalgebras (or HSA's, which are in some sense a generalization of ideals). Second, we study properties of operator algebras which are hereditary subalgebras in their bidual, or equivalently which...
Ideals in a C*-Algebra.
Idempotent States and the Inner Linearity Property
We find an analytic formulation of the notion of Hopf image, in terms of the associated idempotent state. More precisely, if π:A → Mₙ(ℂ) is a finite-dimensional representation of a Hopf C*-algebra, we prove that the idempotent state associated to its Hopf image A' must be the convolution Cesàro limit of the linear functional φ = tr ∘ π. We then discuss some consequences of this result, notably to inner linearity questions.
Image d'un homomorphisme et flot des poids d'une relation d'Équivalence mesurée.
Implementation canonique pour les co-actions d'un groupe localement compact et les systèmes dynamiques generalises.