Non-Hausdorff groupoids, proper actions and -theory.
Non-normal elements in Banach *-algebras
Let A be a Banach *-algebra with an identity, continuous involution, center Z and set of self-adjoint elements Σ. Let h ∈ Σ. The set of v ∈ Σ such that (h + iv)ⁿ is normal for no positive integer n is dense in Σ if and only if h ∉ Z. The case where A has no identity is also treated.
Non-self-adjoint operator algebras and inverse systems of simplicial complexes.
Nonstable K-Theory Results for Some AH-Algebras.
Norm attaining bilinear forms on C*-algebras
We give a sufficient condition on a C*-algebra to ensure that every weakly compact operator into an arbitrary Banach space can be approximated by norm attaining operators and that every continuous bilinear form can be approximated by norm attaining bilinear forms. Moreover we prove that the class of C*-algebras satisfying this condition includes the group C*-algebras of compact groups.
Norm inequalities in star algebras.
Normal cones and --convex structure
The notion of normal cones is used to characterize --convex algebras among unital, symmetric and complete -convex algebras.
Normal generation of unitary groups of Cuntz algebras by involutions.
Normal states and representations of the canonical commutation relations
Normes de Sobolev et convoluteurs bornés sur
Un groupe localement compact muni d’une fonction-longueur a la propriété par rapport à si toute fonction à décroissance rapide sur définit un convoluteur borné sur . Nous donnons une condition suffisante assez générale pour que le couple ait la propriété . Pour un tel couple, nous caractérisons les fonctions de type positif sur faiblement associées à la représentation régulière gauche et, dans le cas discret, nous considérons les propriétés d’approximation de l’algèbre de Fourier...
Notes on a class of simple C*-algebras with real rank zero.
A construction method is presented for a class of simple C*-algebras whose basic properties -including their real ranks- can be computed relatively easily, using linear algebra. A numerival invariant attached to the construction determines wether a given algebra has real rank 0 or 1. Moreover, these algebras all have stable rank 1, and each nonzero hereditary sub-C*-algebra contains a nonzero projection, yet there are examples in which the linear span of the projections is not dense. (This phenomenon...
Nuclear JC-algebras and tensor products of types.
-Topologies on the Test Function Algebra
On matrices over -algebras.
On a Cauchy-Jensen functional inequality.
On a Class of KMS States for the Unitary Group U (oo).
On approximately finite-dimensional von Neumann algebras.
On automatic continuity of 3-holomorphisms on Banach algebras.
On AW*-subalgrebras of type I AW*-algebras.
On Banach algebras satisfying a spectral maximum principle