Ian Charlesworth

collaborators

2 papers

math.OA2026

Operator models and analytic subordination for operator-valued free convolution powers

Ian Charlesworth, David Jekel

We revisit the theory of operator-valued free convolution powers given by a completely positive map $I^\cdot$ . We first give a general result, with a new analytic proof, that the $I^\cdot$ -c…

math.OA2025

The atoms of graph product von Neumann algebras

Ian Charlesworth, David Jekel

We completely classify the atomic summands in a graph product $(M, I ¨ ) = *_{v \in G} (M_{v}, I ¨ _{v})$ of von Neumann algebras with faithful normal states. Each type I factor su…