About the Connes embedding conjecture

  title={About the Connes embedding conjecture},
  author={Narutaka Ozawa},
  journal={Japanese Journal of Mathematics},
  • N. Ozawa
  • Published 20 March 2013
  • Mathematics
  • Japanese Journal of Mathematics
In his celebrated paper in 1976, A. Connes casually remarked that any finite von Neumann algebra ought to be embedded into an ultraproduct of matrix algebras, which is now known as the Connes embedding conjecture or problem. This conjecture became one of the central open problems in the field of operator algebras since E. Kirchberg’s seminal work in 1993 that proves it is equivalent to a variety of other seemingly totally unrelated but important conjectures in the field. Since then, many more… 
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