13 citations · 18 across the 5 of their papers we have counts for
6 papers · 1 filter
A Random Matrix Approach to the Lack of Projections in C*_red(F_2)
Uffe Haagerup, Hanne Schultz, Steen Thorbjornsen
In 1982 Pimsner and Voiculescu computed the K_0- and K_1-groups of the reduced group C*-algebra C*_red(F_k) of the free group F_k on k generators and settled thereby a long standin…
Moment Formulas For The Quasi-Nilpotent DT-Operator
L. Aagaard, U. Haagerup
Let T be the quasi-nilpotent DT-operator. By use of Voiculescu's amalgamated R-transform we compute the moments of , where , and the Brown-measure o…
Invariant subspaces of the quasinilpotent DT-operator
Ken Dykema, Uffe Haagerup
We previously introduced the class of DT--operators, which are modeled by certain upper triangular random matrices, and showed that if the spectrum of a DT-operator is not reduced…
Random matrices, free probability and the invariant subspace problem relative to a von Neumann Algebra
Uffe Haagerup
Random matrices have their roots in multivariate analysis in statistics, and since Wigner's pioneering work in 1955, they have been a very important tool in mathematical physics. I…
DT-operators and decomposability of Voiculescu's circular operator
Ken Dykema, Uffe Haagerup
The DT-operators are introduced, one for every pair (μ,c) consisting of a compactly supported Borel probability measure μon the complex plane and a constant c>0. These are operator…
Invariant subspaces of Voiculescu's circular operator
Ken Dykema, Uffe Haagerup
We show that Voiculescu's circular operator and, more generally, each circular free Poisson operator has a continuous family of invariant subspaces relative to the von Neumann alge…