A Linearization of Connes' Embedding Problem

Details A Linearization of Connes' Embedding Problem A Linearization of Connes' Embedding Problem

2007-06-26

arxiv.org/abs/0706.3918v1

New York J. Math. 14 (2008), 617-641

Mathematics

Operator Algebras

25pp

Scientific paper

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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