3 papers
math.OA2025
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…
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.OA2025
On the genericity of irreducible subfactors
Yoonkyeong Lee, Brent Nelson
We show that finitely generated irreducible subfactors are generic in the following sense. Given a separable factor and an integer , eq…