19 citations · 120 across the 58 of their papers we have counts for
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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…
Generic algebraic properties in spaces of enumerated groups
Isaac Goldbring, Srivatsav Kunnawalkam Elayavalli, Yash Lodha
We introduce and study Polish topologies on various spaces of countable enumerated groups, where an enumerated group is simply a group whose underlying set is the set of natural nu…
The Universal Theory Of The Hyperfinite II Factor Is Not Computable
Isaac Goldbring, Bradd Hart
We show that the universal theory of the hyperfinite II factor is not computable. The proof uses the recent result that MIP*=RE. Combined with an earlier observation of the aut…
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…