55 citations · 143 across the 24 of their papers we have counts for
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math.LO2018★ 1 cited
Correspondences, Ultraproducts and Model Theory
Isaac Goldbring, Bradd Hart, Thomas Sinclair
We study correspondences of tracial von Neumann algebras from the model-theoretic point of view. We introduce and study an ultraproduct of correspondences and use this ultraproduct…
math.LO2014★ 4 cited
Games and elementary equivalence of factors
Isaac Goldbring, Thomas Sinclair
We use Ehrenfeucht-Fraïssé games to give a local geometric criterion for elementary equivalence of II factors. We obtain as a corollary that two II factors are elementarily…
math.LO2012★ 1 cited
The theory of tracial von Neumann algebras does not have a model companion
Isaac Goldbring, Bradd Hart, Thomas Sinclair
In this note, we show that the theory of tracial von Neumann algebras does not have a model companion. This will follow from the fact that the theory of any locally universal, McDu…