12 citations · 37 across the 29 of their papers we have counts for
6 papers · 2 filters
Quantum Expanders and Quantifier Reduction for Tracial von Neumann Algebras
Ilijas Farah, David Jekel, Jennifer Pi
We provide a complete characterization of theories of tracial von Neumann algebras that admit quantifier elimination. We also show that the theory of a separable tracial von Neuman…
Consequences of the random matrix solution to the Peterson-Thom conjecture
Ben Hayes, David Jekel, Srivatsav Kunnawalkam Elayavalli
In this paper we show various new structural properties of free group factors using the recent resolution (due independently to Belinschi-Capitaine and Bordenave-Collins) of the Pe…
Optimal transport for types and convex analysis for definable predicates in tracial -algebras
David Jekel
We investigate the connections between continuous model theory, free probability, and optimal transport/convex analysis in the context of tracial von Neumann algebras. In particula…
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…
An Elementary Proof of the Inequality for Conditional Free Entropy
David Jekel, Jennifer Pi
Through the study of large deviations theory for matrix Brownian motion, Biane-Capitaine-Guionnet proved the inequality that relates two analogs of entropy in fr…
Uniformly Super McDuff II Factors
Isaac Goldbring, David Jekel, Srivatsav Kunnawalkam Elayavalli +1
We introduce and study the family of uniformly super McDuff II factors. This family is shown to be closed under elementary equivalence and also coincides with the family of II$…