Random matrices and -theory for exact -algebras.
Range of a contractive strongly positive projection in a C*-algebra
We generalize a result of Choi and Effros on the range of a contractive completely positive projection in a C*-algebra to the case when this projection is only strongly positive using, moreover, an elementary argument instead of a 2×2-matrix technique.
Räume primitiver Ideale von Gruppenalgebren.
Real structure in unital separable simple -algebras with tracial rank zero and with a unique tracial state.
Reduction of real rank in inductive limits of C*-algebras.
Reduction to dimension three of local spectra of real rank zero C*-algebras.
Reductive Algebras with Minimal Ideals.
Regular AF subalgebras of some crossed products.
Relative Commutants in Compact Convex Sets and Banach Spaces.
Remarks on a C*-dynamical system.
Representational indices of derivations of C*-algebras and representations of *-algebras on Krein spaces.
Representations of bimeasures
Separately σ-additive and separately finitely additive complex functions on the Cartesian product of two algebras of sets are represented in terms of spectral measures and their finitely additive counterparts. Applications of the techniques include a bounded joint convergence theorem for bimeasure integration, characterizations of positive-definite bimeasures, and a theorem on decomposing a bimeasure into a linear combination of positive-definite ones.
Representations of higher rank graph algebras.
Representations of the direct product of matrix algebras
Suppose B is a unital algebra which is an algebraic product of full matrix algebras over an index set X. A bijection is set up between the equivalence classes of irreducible representations of B as operators on a Banach space and the σ-complete ultrafilters on X (Theorem 2.6). Therefore, if X has less than measurable cardinality (e.g. accessible), the equivalence classes of the irreducible representations of B are labeled by points of X, and all representations of B are described (Theorem 3.3).
Reverse order law for the Moore-Penrose inverse in -algebras.
Riesz Theory in Banach Algebras.