A Banach principle for semifinite von Neumann algebras.
A comment on free group factors
Let M be a finite von Neumann algebra acting on the standard Hilbert space L²(M). We look at the space of those bounded operators on L²(M) that are compact as operators from M into L²(M). The case where M is the free group factor is particularly interesting.
A Family of Type III Factorswithout Property L.
A framework to study commutation problems
A generalization of entropy using traces on von Neumann algebras
A Generalized Riesz-Schauder Decomposition Theorem.
A linear Radon-Nikodym type theorem for -algebras with applications to measure theory
A linearization of Connes' embedding problem.
A metric space associated with a probability space.
A Non-Commutative Individual Ergodic Theorem.
A note on Lie nilpotency in operator algebras
A note on normal generation and generation of groups
In this note we study sets of normal generators of finitely presented residually -finite groups. We show that if an infinite, finitely presented, residually -finite group is normally generated by with order , then where denotes the first -Betti number of . We also show that any -generated group with must have girth greater than or equal .
A note on one-parameter groups of automorphisms.
A note on the von Neumann algebra underlying some universal compact quantum groups.
A numerical invariant for finitely generated groups via actions on graphs.
A property of ergodic flows
We introduce a property of ergodic flows, called Property B. We prove that an ergodic hyperfinite equivalence relation of type III₀ whose associated flow has this property is not of product type. A consequence is that a properly ergodic flow with Property B is not approximately transitive. We use Property B to construct a non-AT flow which-up to conjugacy-is built under a function with the dyadic odometer as base automorphism.
A remark on the slice map problem.
A result on two one-parameter groups of automorphisms.
A Spatial Characterization of ... Conditional Expectations on von Neumann Algebras.
A survey on the classification of factors of von Neumann algebras.