Forcing axioms and coronas of C∗-algebras

Paul Mckenney (1) , Alessandro Vignati (2, 3)

1 IBM
2 UFR Mathématiques UPCité - UFR Mathématiques [Sciences] - Université Paris Cité
3 IMJ - Institut de Mathématiques de Jussieu

We prove rigidity results for large classes of corona algebras, assuming the Proper Forcing Axiom. In particular, we prove that a conjecture of Coskey and Farah holds for all separable [Formula: see text]-algebras with the metric approximation property and an increasing approximate identity of projections.

Domaines: Mathématiques [math]

Paul Mckenney, Alessandro Vignati. Forcing axioms and coronas of C∗-algebras. Journal of Mathematical Logic, 2021, 21 (02), pp.2150006. ⟨10.1142/S0219061321500069⟩. ⟨hal-03796350⟩