3 papers
math.OA2024
Random permutation matrix models for graph products
Ian Charlesworth, Rolando de Santiago, Ben Hayes +3
Graph independence (also known as -independence or -independence) is a mixture of classical independence and free independence corresponding to graph products or groups and…
math.OA2024
On the structure of graph product von Neumann algebras
Ian Charlesworth, Rolando de Santiago, Ben Hayes +3
We undertake a comprehensive study of structural properties of graph products of von Neumann algebras equipped with faithful, normal states, as well as properties of the graph prod…
math.OA2024
Strong 1-boundedness, -Betti numbers, algebraic soficity, and graph products
Ian Charlesworth, Rolando de Santiago, Ben Hayes +3
We show that graph products of non trivial finite dimensional von Neumann algebras are strongly 1-bounded when the underlying *-algebra has vanishing first L2-Betti number. The pro…