Connes' embedding problem and Tsirelson's problem

@article{Junge2011ConnesEP,
  title={Connes' embedding problem and Tsirelson's problem},
  author={Marius Junge and Miguel Navascu{\'e}s and Carlos Palazuelos and David P{\'e}rez-Garc{\'i}a and Volkher B. Scholz and Reinhard F. Werner},
  journal={Journal of Mathematical Physics},
  year={2011},
  volume={52},
  pages={012102-012102}
}
We show that Tsirelson's problem concerning the set of quantum correlations and Connes' embedding problem on finite approximations in von Neumann algebras (known to be equivalent to Kirchberg's QWEP conjecture) are essentially equivalent. Specifically, Tsirelson's problem asks whether the set of bipartite quantum correlations generated between tensor product separated systems is the same as the set of correlations between commuting C*-algebras. Connes' embedding problem asks whether any… 
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