Brent Nelson

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math.OA2025

On the genericity of irreducible subfactors

Yoonkyeong Lee, Brent Nelson

We show that finitely generated irreducible $II_{1}$ subfactors are generic in the following sense. Given a separable $II_{1}$ factor $M$ and an integer $n \geq 2$ , eq…

math.OA2025

Simplicity of Cuntz-Pimsner algebras of quantum graphs

Mitch Hamidi, Lara Ismert, Brent Nelson

Let $G$ be a quantum graph without quantum sources and $E_{G}$ be the quantum edge correspondence for $G .$ Our main results include sufficient condition…