8 citations · 12 across the 6 of their papers we have counts for
6 papers
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…
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 o…
McDuff and Prime von Neumann algebras arising from Thompson-Like Groups
Rolando de Santiago, Patrick DeBonis, Krishnendu Khan
In this paper we show that the cloning system construction of Skipper and Zaremsky [SZ21], under sufficient conditions, gives rise to Thompson-Like groups which are stable; in part…
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…
Maximal rigid subalgebras of deformations and -cohomology
Rolando de Santiago, Ben Hayes, Daniel J. Hoff +1
In the past two decades, Sorin Popa's breakthrough deformation/rigidity theory has produced remarkable rigidity results for von Neumann algebras which can be deformed inside a…
Tensor product decompositions of II factors arising from extensions of amalgamated free product groups
Ionuţ Chifan, Rolando de Santiago, Wanchalerm Sucpikarnon
In this paper we introduce a new family of icc groups which satisfy the following product rigidity phenomenon, discovered in [DHI16] (see also [dSP17]): all tensor product deco…