# The Connes Embedding Problem: A guided tour

@article{Goldbring2021TheCE, title={The Connes Embedding Problem: A guided tour}, author={Isaac Goldbring}, journal={ArXiv}, year={2021}, volume={abs/2109.12682} }

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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