29 citations · 31 across the 3 of their papers we have counts for
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math.OA2024
On the structure of graph product von Neumann algebras
Ian Charlesworth, Rolando de Santiago, Ben Hayes +3
We undertake a comprehensive study of structural properties of graph products of von Neumann algebras equipped with faithful, normal states, as well as properties of the graph prod…
math.OA2014★ 29 cited
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…
math.OA2014★ 2 cited
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…