316 citations · 1.6k across the 59 of their papers we have counts for
5 papers · 1 filter
Groups associated to -factors
Nathanial P. Brown, Valerio Capraro
We extend recent work of the first named author, constructing a natural Hom semigroup associated to any pair of II-factors. This semigroup always satisfies cancelation, hence e…
Cyclic Hilbert spaces and Connes' embedding problem
Valerio Capraro, Florin Radulescu
Let be a -factor with trace , the linear subspaces of are not just common Hilbert spaces, but they have additional structure. We introduce the notion of a c…
Extreme points and embeddings with factorial commutant
Nathanial P. Brown, Valerio Capraro
This paper has been withdrawn.
A Survey on Connes' Embedding Conjecture
Valerio Capraro
In a very celebrated paper A. Connes has formulated a conjecture which is now one of the most important open problem in Operator Algebras. This importance comes from the works of m…
Product between ultrafilters and applications to the Connes' embedding problem
V. Capraro, L. Paunescu
In this paper we want to apply the notion of product between ultrafilters to answer several questions which arise around the Connes' embedding problem. For instance, we will give a…