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arXiv · 0706.3918

A Linearization of Connes' Embedding Problem

Benoit Collins·Ken Dykema
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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.

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Benoit Collins, Ken Dykema. 2007-06-26. A Linearization of Connes' Embedding Problem. https://arxiv.org/abs/0706.3918

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