19 citations · 120 across the 58 of their papers we have counts for
8 papers · 1 filter
Unitary representations of locally compact groups as metric structures
Itaï Ben Yaacov, Isaac Goldbring
For a locally compact group , we show that it is possible to present the class of continuous unitary representations of as an elementary class of metric structures, in the s…
The Connes Embedding Problem: A guided tour
Isaac Goldbring
The Connes Embedding Problem (CEP) is a problem in the theory of tracial von Neumann algebras and asks whether or not every tracial von Neumann algebra embeds into an ultrapower of…
Existentially closed W*-probability spaces
Isaac Goldbring, Cyril Houdayer
We study several model-theoretic aspects of W-probability spaces, that is, -finite von Neumann algebras equipped with a faithful normal state. We first study the existential…
A quantum complexity approach to the Kirchberg Embedding Problem
Isaac Goldbring, Bradd Hart
The Kirchberg Embedding Problem (KEP) asks if every C*-algebra embeds into an ultrapower of the Cuntz algebra . Motivated by the recent refutation of the Connes Embedding…
On the complexity of the theory of a computably presented metric structure
Caleb Camrud, Isaac Goldbring, Timothy H. McNicholl
We consider the complexity (in terms of the arithmetical hierarchy) of the various quantifier levels of the diagram of a computably presented metric structure. As the truth value o…
Everettian mechanics with hyperfinitely many worlds
Jeffrey Barrett, Isaac Goldbring
The present paper shows how one might model Everettian quantum mechanics using hyperfinitely many worlds. A hyperfinite model allows one to consider idealized measurements of obser…