Radial functions on free groups and a decomposition of the regular representation into irreducible components.
Radicals, crossed products, and flows
Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index.
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.
Range tripotents and order in JBW*-triples
In a JBW*-triple, i.e., a symmetric complex Banach space possessing a predual, the set of tripotents is naturally endowed with a partial order relation. This work is mainly concerned with this partial order relation when restricted to the subset 𝓡(A) of tripotents in a JBW*-triple B formed by the range tripotents of the elements of a JB*-subtriple A of B. The aim is to present recent developments obtained for the poset 𝓡(A) of the range tripotents relative to A, whilst also providing the necessary...
Räume primitiver Ideale von Gruppenalgebren.
Real and Complex Noncommutative Jordan Banch Algebras.
Real Interpolation between Row and Column Spaces
We give an equivalent expression for the K-functional associated to the pair of operator spaces (R,C) formed by the rows and columns respectively. This yields a description of the real interpolation spaces for the pair (Mₙ(R),Mₙ(C)) (uniformly over n). More generally, the same result is valid when Mₙ (or B(ℓ₂)) is replaced by any semi-finite von Neumann algebra. We prove a version of the non-commutative Khintchine inequalities (originally due to Lust-Piquard) that is valid for the Lorentz spaces...
Real structure in unital separable simple -algebras with tracial rank zero and with a unique tracial state.
Real versus complex K-theory using Kasparov's bivariant KK-theory.
Recent trends in the field of Jordan-Banach algebras
Reduced and extended weak coupling limit
The main aim of our lectures is to give a pedagogical introduction to various mathematical formalisms used to describe open quantum systems: completely positive semigroups, dilations of semigroups, quantum Langevin dynamics and the so-called Pauli-Fierz Hamiltonians. We explain two kinds of the weak coupling limit. Both of them show that Hamiltonian dynamics of a small quantum system interacting with a large resevoir can be approximated by simpler dynamics. The better known reduced weak coupling...
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.
Reelle Jordanalgebren mit endlicher Spur.
Reflective-coreflective equivalence.
Reflexive Operator Algebras on Non-Commutative Hardy Spaces.
Regular AF subalgebras of some crossed products.