De nouveaux espaces de Banach sans la propriété d'approximation
Decomposition of Positive Projections on C*-Algebras.
Decompositions of operator-valued functions in Hilbert spaces
Deformation of involution and multiplication in a C*-algebra
We investigate the deformations of involution and multiplication in a unital C*-algebra when its norm is fixed. Our main result is to present all multiplications and involutions on a given C*-algebra 𝓐 under which 𝓐 is still a C*-algebra when we keep the norm unchanged. For each invertible element a ∈ 𝓐 we also introduce an involution and a multiplication making 𝓐 into a C*-algebra in which a becomes a positive element. Further, we give a necessary and sufficient condition for the center of...
Déformations de -algèbres de Hopf
Der Primidealraum der C*-Algebra und die unzerlegebaren Charaktere der Gruppe GI (...,q).
Derivations of simple -algebras. II
Derivatons of Jordan C*-algebras.
Diagonality in C*-Algebras.
Die erzeugte Algebra eines Markov-Verbandsoperators in C(X).
Differential calculi over quantum groups
An exposition is given of recent work of the author and others on the differential calculi that occur in the setting of compact quantum groups. The principal topics covered are twisted graded traces, an extension of Connes' cyclic cohomology, invariant linear functionals on covariant calculi and the Hodge, Dirac and Laplace operators in this setting. Some new results extending the classical de Rham theorem and Poincaré duality are also discussed.
Differential geometry in the space of positive operators.
Dimension Functions on Simple C*-Algebras.
Dimension groups for interval maps.
Direkte Integrale von Hilbertalgebren.
Discrete group actions and the minimal primal ideal space.
Disintegration theory on a constant field of non-seperable Hilbert spaces.
Domination of operators in the non-commutative setting
We consider majorization problems in the non-commutative setting. More specifically, suppose E and F are ordered normed spaces (not necessarily lattices), and 0 ≤ T ≤ S in B(E,F). If S belongs to a certain ideal (for instance, the ideal of compact or Dunford-Pettis operators), does it follow that T belongs to that ideal as well? We concentrate on the case when E and F are C*-algebras, preduals of von Neumann algebras, or non-commutative function spaces. In particular, we show that, for C*-algebras...
Dual spaces of JB*-triples and the Radon-Nikodym property.