1 citations · 1 across the 1 of their papers we have counts for
7 papers
Quantum edge correspondences and quantum Cuntz-Krieger algebras
Michael Brannan, Mitch Hamidi, Lara Ismert +2
Given a quantum graph , we define a C*-correspondence over the noncommutative vertex C*-algebra , called the quantum edge correspondence. Fo…
On Free Stein Dimension
Ian Charlesworth, Brent Nelson
We establish several properties of the free Stein dimension, an invariant for finitely generated unital tracial -algebras. We give formulas for its behaviour under direct sums a…
A random matrix approach to absorption in free products
Ben Hayes, David Jekel, Brent Nelson +1
This paper gives a free entropy theoretic perspective on amenable absorption results for free products of tracial von Neumann algebras. In particular, we give the first free entrop…
Free Stein Irregularity and Dimension
Ian Charlesworth, Brent Nelson
We introduce a free probabilistic quantity called free Stein irregularity, which is defined in terms of free Stein discrepancies. It turns out that this quantity is related via a s…
Non-tracial free graph von Neumann algebras
Michael Hartglass, Brent Nelson
Given a finite, directed, connected graph equipped with a weighting on its edges, we provide a construction of a von Neumann algebra equipped with a faithful, normal, posit…
Free products of finite-dimensional and other von Neumann algebras in terms of free Araki-Woods factors
Michael Hartglass, Brent Nelson
We show that any free product of finite-dimensional von Neumann algebras equipped with non-tracial states is isomorphic to a free Araki-Woods factor with its free quasi-free state…