7 papers
On Generators for -bundles
Ben Hayes
We give an explicit example of a -bundle over a compact, metrizable space , which has each fiber a -factor with separable predual, and which…
Selfless Inclusions of C*-Algebras
Ben Hayes, Srivatsav Kunnawalkam Elayavalli, Gregory Patchell +1
We introduce and study a natural notion of selflessness for inclusions of C*-probability spaces, which in particular implies that all intermediate C*-algebras are selfless in the s…
Selfless reduced free product -algebras
Ben Hayes, Srivatsav Kunnawalkam Elayavalli, Leonel Robert
We study selflessness in the general setting of reduced free products of -algebras. Towards this end, we develop a suitable theory of rapid decay for filtrations in arbitrary…
General solidity phenomena and anticoarse spaces for type factors
Ben Hayes, David Jekel, Srivatsav Kunnawalkam Elayavalli +1
By developing a theory of anticoarse spaces in the purely infinite setting and using 1-bounded entropy techniques along with recent strong convergence results in random matrix theo…
Coamenability and cospectral radius for orbit equivalence relations
Ben Hayes
We consider inclusions of discrete, probability measure-preserving orbit equivalence relations. In previous work with Abért-Fraçzyk, we established th…
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…