-algebras associated to coverings of -graphs.
algebras associated with von Neumann algebras
Ad un'algebra di von Neumann separabile , in forma standard su di uno spazio di Hilbert , si associa la algebra definita come la algebra costituita dai punti fissi dell'algebra di Cuntz generalizzata mediante l'azione canonica del gruppo degli unitari di . Si dà una caratterizzazione di nel caso in cui è un fattore iniettivo. In seguito, come applicazione della teoria dei sistemi asintoticamente abeliani, si mostra che, se è uno stato vettoriale normale e fedele di , la restrizione...
-algebras of operators in non-archimedean Hilbert spaces
We show several examples of n.av̇alued fields with involution. Then, by means of a field of this kind, we introduce “n.aḢilbert spaces” in which the norm comes from a certain hermitian sesquilinear form. We study these spaces and the algebra of bounded operators which are defined on them and have an adjoint. Essential differences with respect to the usual case are observed.
algebras of operators on a half-space
-algebras of operators on a half-space, II. Index theory
C*-algebra of the -tree.
C*-Algebras Associated with Cellular Automata.
C*-algebras have a quantitative version of Pełczyński's property (V)
A Banach space has Pełczyński’s property (V) if for every Banach space every unconditionally converging operator is weakly compact. H. Pfitzner proved that -algebras have Pełczyński’s property (V). In the preprint (Krulišová, (2015)) the author explores possible quantifications of the property (V) and shows that spaces for a compact Hausdorff space enjoy a quantitative version of the property (V). In this paper we generalize this result by quantifying Pfitzner’s theorem. Moreover, we...
C*-Algebras of Singular Integral operators on the line realted to singular Sturm-Liouville problems.
Cebysev subspaces of C*-algebras.
Centered operators
Central decompositions for compact convex sets
Central extension of mappings on von Neumann algebras.
Character theory of infinite wreath products.
Characterization of strict C*-algebras
A Banach algebra A is called strict if the product morphism is continuous with respect to the weak norm in A ⊗ A. The following result is proved: A C*-algebra is strict if and only if all its irreducible representations are finite-dimensional and their dimensions are bounded.
Characterization of the order relation on the set of completely -positive linear maps between -algebras.
Characters of finitely generated C*-algebras
Classification des C*-algèbres purement infinies nucléaires
Classification of dimension groups and iterating systems.
Classification of inductive limits of Cuntz algebras.