A linearization of Connes' embedding problem
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We show that Connes' embedding problem for II1-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.
New York Journal of Mathematics
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Collins, B., & Dykema, K.
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