3 papers
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 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 subfactors are generic in the following sense. Given a separable factor and an integer , eq…
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…