74 citations · 280 across the 32 of their papers we have counts for
13 papers · 1 filter
Totally Bounded Elements in W*-probability Spaces
Hiroshi Ando, Jananan Arulseelan, Isaac Goldbring +2
We introduce the notion of a totally (-) bounded element of a -probability space and, borrowing ideas of Kadison, give an intrinsic characterization of the -su…
An Introduction To Continuous Model Theory
Bradd Hart
We present an introduction to modern continuous model theory with an emphasis on its interactions with topics covered in this volume such as -algebras and von Neumann algebras…
On Tsirelson pairs of C*-algebras
Isaac Goldbring, Bradd Hart
We introduce the notion of a Tsirelson pair of C*-algebras, which is a pair of C*-algebras for which the space of quantum strategies obtained by using states on the minimal tensor…
The undecidability of having the QWEP
Jananan Arulseelan, Isaac Goldbring, Bradd Hart
We show that neither the class of C*-algebras with Kirchberg's QWEP property nor the class of W*-probability spaces with the QWEP property are effectively axiomatizable (in the app…
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…
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…