Corpus ID: 237940159

The Connes Embedding Problem: A guided tour

  title={The Connes Embedding Problem: A guided tour},
  author={Isaac Goldbring},
  • Isaac Goldbring
  • Published 26 September 2021
  • Computer Science, Mathematics, Physics
  • ArXiv
The Connes Embedding Problem (CEP) is a problem in the theory of tracial vonNeumann algebras and askswhether or not every tracial vonNeumann algebra embeds into an ultrapower of the hyperfinite II1 factor. The CEP has had interactions with a wide variety of areas of mathematics, including C-algebra theory, geometric group theory, free probability, and noncommutative real algebraic geometry (to name a few). After remaining open for over 40 years, a negative solution was recently obtained as a… Expand


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