A Linearization of Connes' Embedding Problem
Operator Algebras
2012-02-28 v1
Abstract
We show that Connes' embedding problem for II_1-factors is equivalent to a statement about distributions of sums of self-adjoint operators with matrix coefficients. This is an application of a linearization result for finite von Neumann algebras, which is proved using asymptotic second order freeness of Gaussian random matrices.
Cite
@article{arxiv.0706.3918,
title = {A Linearization of Connes' Embedding Problem},
author = {Benoit Collins and Ken Dykema},
journal= {arXiv preprint arXiv:0706.3918},
year = {2012}
}