# Noncommutative Choquet simplices

@article{Kennedy2019NoncommutativeCS, title={Noncommutative Choquet simplices}, author={Matthew Kennedy and Eli Shamovich}, journal={Mathematische Annalen}, year={2019}, volume={382}, pages={1591 - 1629} }

We introduce a notion of noncommutative Choquet simplex, or briefly an nc simplex, that generalizes the classical notion of a simplex. While every simplex is an nc simplex, there are many more nc simplices. They arise naturally from C*-algebras and in noncommutative dynamics. We characterize nc simplices in terms of their geometry and in terms of structural properties of their corresponding operator systems. There is a natural definition of nc Bauer simplex that generalizes the classical…

## 7 Citations

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