32 citations · 185 across the 24 of their papers we have counts for
5 papers · 2 filters
On Operator-Valued Bi-Free Distributions
Paul Skoufranis
In this paper, operator-valued bi-free distributions are investigated. Given a subalgebra of a unital algebra , it is established that a two-faced family is bi-free from…
Some Bi-Matrix Models for Bi-Free Limit Distributions
Paul Skoufranis
In this paper, an analogue of matrix models from free probability is developed in the bi-free setting. A bi-matrix model is not simply a pair of matrix models, but a pair of matrix…
A Combinatorial Approach to Voiculescu's Bi-Free Partial Transforms
Paul Skoufranis
In this paper, we present a combinatorial approach to the 2-variable bi-free partial - and -transforms recently discovered by Voiculescu. This approach produces an alternate…
Closed Convex Hulls of Unitary Orbits in C-Algebras of Real Rank Zero
Paul Skoufranis
In this paper, we study closed convex hulls of unitary orbits in various C-algebras. For unital C-algebras with real rank zero and a faithful tracial state determining equi…
Numerical Ranges in II Factors
Ken Dykema, Paul Skoufranis
In this paper, we generalize the notion of the -numerical range of a matrix to operators in arbitrary tracial von Neumann algebras. For each self-adjoint operator , the -n…