19 citations · 120 across the 58 of their papers we have counts for
5 papers · 2 filters
Properties expressible in small fragments of the theory of the hyperfinite II_1 factor
Isaac Goldbring, Bradd Hart
We show that any II factor that has the same 4-quantifier theory as the hyperfinite II factor satisfies the conclusion of the Popa Factorial Commutant Embeddi…
Factorial relative commutants and the generalized Jung property for II factors
Scott Atkinson, Isaac Goldbring, Srivatsav Kunnawalkam Elayavalli
We introduce the notion of a generalized Jung factor: a II factor for which any two embeddings of into its ultrapower are equivalent by an automorphism…
Operator algebras with hyperarithmetic theory
Isaac Goldbring, Bradd Hart
We show that the following operator algebras have hyperarithmetic theory: the hyperfinite II factor , for a finitely generated group with solvable word p…
On Popa's factorial commutant embedding problem
Isaac Goldbring
An open question of Sorin Popa asks whether or not every -embeddable factor admits an embedding into with factorial relative commutant. We show t…
Oracle computability of conditional expectations onto subfactors
Isaac Goldbring
We initiate the effective study of conditional expectations onto subfactors. Our main result is that if is an existentially closed II factor with a w-spectral gap subfactor…