A linearization of Connes' embedding problem Academic Article uri icon


  • 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.

published proceedings

  • New York Journal of Mathematics

author list (cited authors)

  • Collins, B., & Dykema, K.

complete list of authors

  • Collins, B||Dykema, K

publication date

  • December 2008