Density of the self-adjoint elements with finite spectrum in an irrational rotation C*-algebra.
Der Primidealraum der C*-Algebra und die unzerlegebaren Charaktere der Gruppe GI (...,q).
Derivation Algebras of JB-Algebras.
Derivations, dynamical systems, and spectral restrictions.
Derivations of simple -algebras. II
Derivatons of Jordan C*-algebras.
Determinant lines, von Neumann algebras and L2 torsion.
Diagonality in C*-Algebras.
Die erzeugte Algebra eines Markov-Verbandsoperators in C(X).
Die Struktur endlicher schwach abgeschlossener Jordanalgebren. Teil II. Diskrete Jordanalgebren.
Die Struktur endlicher schwach abgeschlossener Jordanalgebren. Teil I. Stetige Jordanalgebren.
Diffeotopy functors of ind-algebras and local cyclic cohomology.
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 calculus on 'non-standard' (h-deformed) Minkowski spaces
The differential calculus on 'non-standard' h-Minkowski spaces is given. In particular it is shown that, for them, it is possible to introduce coordinates and derivatives which are simultaneously hermitian.
Differential geometrical relations for a class of formal series
An extension of the category of local manifolds is considered. Instead of smooth mappings of neighbourhoods of linear spaces as morphisms we deal with formal operator power series (or formal maps). Analogues of the objects appearing on smooth manifolds and vector bundles (vector fields, sections of a bundle, exterior forms, the de Rham complex, connection, etc.) are considered in this way. All the examinations are carried out in algebraic language, for we do not care about the convergence of formal...
Differential geometry in the space of positive operators.
Differential independence via an associative product of infinitely many linear functionals
We generalize the infinitesimal independence appearing in free probability of type B in two directions: to higher order derivatives and other natural independences: tensor, monotone and Boolean. Such generalized infinitesimal independences can be defined by using associative products of infinitely many linear functionals, and therefore the associated cumulants can be defined. These products can be seen as the usual natural products of linear maps with values in formal power series.
Dilation theorems for completely positive maps and map-valued measures
The Stinespring theorem is reformulated in terms of conditional expectations in a von Neumann algebra. A generalisation for map-valued measures is obtained.
Dilations of Hilbert space operators (General theory) [Book]
Dimension Functions on Simple C*-Algebras.