19 citations · 120 across the 58 of their papers we have counts for
35 papers · 1 filter
Computable presentations of reduced group C*-algebras of groups with the rapid decay property
Isaac Goldbring
We show that whenever is a finitely generated group with the rapid decay property (property RD), then the norm on the reduced group C*-algebra is computable if (and…
Computable presentations of reduced group C*-algebras of hyperbolic groups
Isaac Goldbring
Answering a question of Thomas Sinclair, we show that the standard presentation of the reduced group C*-algebra of an infinite hyperbolic group is computable. The ma…
On the First-Order Free Group Factor Alternative
Isaac Goldbring, Jennifer Pi
We investigate the problem of elementary equivalence of the free group factors, that is, do all free group factors share a common first-order theory? We establish…
Locally universal C*-algebras with computable presentations
Alec Fox, Isaac Goldbring, Bradd Hart
The Kirchberg Embedding Problem (KEP) asks if every C*-algebra embeds into an ultrapower of the Cuntz algebra . In an effort to provide a negative solution to the KE…
A survey on the model theory of tracial von Neumann algebras
Isaac Goldbring, Bradd Hart
We survey the developments in the model theory of tracial von Neumann algebras that have taken place in the last fifteen years. We discuss the appropriate first-order language for…
Model theory and Ultrapower Embedding Problems in Operator Algebras
Isaac Goldbring
We survey the model theoretic approach to a variety of ultrapower embedding problems in operator algebras.