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math.LO2023
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…
math.LO2023
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…