29 citations · 114 across the 14 of their papers we have counts for
18 papers
Strong 1-boundedness, -Betti numbers, algebraic soficity, and graph products
Ian Charlesworth, Rolando de Santiago, Ben Hayes +3
We show that graph products of non trivial finite dimensional von Neumann algebras are strongly 1-bounded when the underlying *-algebra has vanishing first L2-Betti number. The pro…
Discrete Inclusions of C*-algebras
Roberto Hernández Palomares, Brent Nelson
We introduce the category of C*-discrete inclusions of C*-algebras with a faithful conditional expectation . This class includes many examples…
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…
Orientifold Calabi-Yau Threefolds with Divisor Involutions and String Landscape
Ross Altman, Jonathan Carifio, Xin Gao +1
We establish an orientifold Calabi-Yau threefold database for by considering non-trivial divisor exchange involutions, using a toric Calabi-Yau…
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…
Free transport for interpolated free group factors
Michael Hartglass, Brent Nelson
In this article, we study a form of free transport for the interpolated free group factors, extending the work of Guionnet and Shlyakhtenko for the usual free group factors. Our mo…
Free Stein kernels and an improvement of the free logarithmic Sobolev inequality
Max Fathi, Brent Nelson
We introduce a free version of the Stein kernel, relative to a semicircular law. We use it to obtain a free counterpart of the HSI inequality of Ledoux, Peccatti and Nourdin, which…
On finite free Fisher information for eigenvectors of a modular operator
Brent Nelson
Suppose is a von Neumann algebra equipped with a faithful normal state and generated by a finite set , . We show that if consists of eigenvectors of t…
Free monotone transport for infinite variables
Brent Nelson, Qiang Zeng
We extend the free monotone transport theorem of Guionnet and Shlyakhtenko to the case of infinite variables. As a first application, we provide a criterion for when mixed -Gaus…
An application of free transport to mixed -Gaussian algebras
Brent Nelson, Qiang Zeng
We consider the mixed -Gaussian algebras introduced by Speicher which are generated by the variables , where and…
Combinatorics of Bi-Freeness with Amalgamation
Ian Charlesworth, Brent Nelson, Paul Skoufranis
In this paper, we develop the theory of bi-freeness in an amalgamated setting. We construct the operator-valued bi-free cumulant functions, and show that the vanishing of mixed cum…
Free transport for finite depth subfactor planar algebras
Brent Nelson
Given a finite depth subfactor planar algebra endowed with the graded -algebra structures of Guionnet, Jones, and Shlyakh…
On two-faced families of non-commutative random variables
Ian Charlesworth, Brent Nelson, Paul Skoufranis
We demonstrate that the notions of bi-free independence and combinatorial-bi-free independence of two-faced families are equivalent using a diagrammatic view of bi-non-crossing par…
Free monotone transport without a trace
Brent Nelson
We adapt the free monotone transport results of Guionnet and Shlyakhtenko to the type case. As a direct application, we obtain that the -deformed Araki-Woods algebr…