39 citations · 148 across the 17 of their papers we have counts for
20 papers
On ultraproduct approximations and property (T) factors
Jesse Peterson
We introduce a framework allowing for key aspects of deformation/rigidity theory to be used in the study of continuous model theory of II factors. Using this framework, we solv…
Biexact von Neumann algebras
Changying Ding, Jesse Peterson
We introduce the notion of biexactness for general von Neumann algebras, naturally extending the notion from group theory. We show that biexactness implies solidity for von Neumann…
Some classes of smooth bimodules over II factors and their associated 1-cohomology spaces
Patrick Hiatt, Jesse Peterson, Sorin Popa
We study several classes of Banach bimodules over a II factor , endowed with topologies that make them "smooth" with respect to -norms implemented by the trace on .…
Properly Proximal von Neumann Algebras
Changying Ding, Srivatsav Kunnawalkam Elayavalli, Jesse Peterson
We introduce the notion of proper proximality for finite von Neumann algebras, which naturally extends the notion of proper proximality for groups. Apart from the group von Neumann…
Poisson boundaries of II factors
Sayan Das, Jesse Peterson
We introduce Poisson boundaries of II factors with respect to density operators that give the traces. The Poisson boundary is a von Neumann algebra that contains the II fac…
Charmenability of arithmetic groups of product type
Uri Bader, Rémi Boutonnet, Cyril Houdayer +1
We discuss special properties of the spaces of characters and positive definite functions, as well as their associated dynamics, for arithmetic groups of product type. Axiomatizing…