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math.OA2023★ 1 cited
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…
math.OA2023
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…
math.OA2023
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$…