3 papers
math.OA2026
Noncommutative Minkowski integral inequality and a unitary categorification criterion for fusion rings
Junhwi Lim
We prove a noncommutative analogue of Minkowski's integral inequality for commuting squares of tracial von Neumann algebras. The inequality implies a necessary condition for a quad…
math.OA2025
Property (T) group factors whose Jones index set equals all positive integers
Ionut Chifan, Junhwi Lim
Using a mélange of techniques at the rich intersection of deformation/rigidity theory, finite index subfactor theory, and geometric group theory, we prove the existence of a contin…
math.OA2023
An index for quantum cellular automata on fusion spin chains
Corey Jones, Junhwi Lim
Interpreting the GNVW index for 1D quantum cellular automata (QCA) in terms of the Jones index for subfactors leads to a generalization of the index defined for QCA on more general…