74 citations · 280 across the 32 of their papers we have counts for
Showing 2013Show all
3 papers · 1 filter
math.OA2013★ 5 cited
Existentially closed II_1 factors
Ilijas Farah, Isaac Goldbring, Bradd Hart +1
We examine the properties of existentially closed (R^omega-embeddable) II_1 factors. In particular, we use the fact that every automorphism of an existentially closed (R^omega-embe…
math.OA2013★ 6 cited
A computability-theoretic reformulation of the Connes Embedding Problem
Isaac Goldbring, Bradd Hart
The Connes Embedding Problem (CEP) asks whether every separable II_1 factor embeds into an ultrapower of the hyperfinite II_1 factor. We show that the CEP is equivalent to the comp…
math.OA2013
Amalgamating R^ω-embeddable von Neumann algebras
Ilijas Farah, Isaac Goldbring, Bradd Hart
We observe how a classical model-theoretic fact proves the existence of many strong amalgamation bases for the class of R^ω-embeddable von Neumann algebras, where R is the hyperfin…