Yoonkyeong Lee

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20242026

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4 papers · 1 filter

math.OA2026

Irreducibility and weak spectral gap in free product von Neumann algebras

Aldo Garcia Guinto, Fehmi Ekin Giritlioglu, Rahul Kumar R. +2

Consider a free product $(M, φ) = (M_{1}, φ_{1}) * (M_{2}, φ_{2})$ of non-trivial von Neumann algebras. Using amalgamated free product techniques, we establish irreducibility and weak spectral…

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

Strong convergence to operator-valued semicirculars

David Jekel, Yoonkyeong Lee, Brent Nelson +1

We establish a framework for weak and strong convergence of matrix models to operator-valued semicircular systems parametrized by operator-valued covariance matrices $η= (η_{i,j})_…

math.OA2024

On conjugate systems with respect to completely positive maps

Yoonkyeong Lee

We study the operator-valued partial derivative associated with covariance matrices on a von Neumann algebra B. We provide a cumulant characterization for the existence of conjugat…