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 …

We show that the generator of a GNS-symmetric quantum Markov semigroup can be written
as the square of a derivation. This generalizes a result of Cipriani and Sauvageot for tracially …

Let G be a locally compact quantum group, and A, B von Neumann algebras on which G
acts. We refer to these as G-dynamical W⁎-algebras. We make a study of G-equivariant AB …

This is a survey of some aspects of the subject of approximation properties for locally
compact quantum groups, based on lectures given at the {\it Topological Quantum Groups} …

We make a comprehensive and self-contained study of compact bicrossed products arising
from matched pairs of discrete groups and compact groups. We exhibit an automatic …

We introduce an appropriate notion of inner amenability for locally compact quantum
groups, study its basic properties, related notions, and examples arising from the bicrossed …

We establish a hypertrace characterization of property (T) for II 1 factors: Given a II 1 factors
M, M does not have property (T) if and only if there exists a von Neumann algebra A with …

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 …

We introduce the relative Haagerup approximation property for a unital, expected inclusion
of arbitrary von Neumann algebras and show that if the smaller algebra is finite then the …

We prove that if a separable II 1 factor M is existentially closed, then every M-bimodule is
weakly contained in the trivial M-bimodule, L 2 (M), and, equivalently, every normal …