Forcing axioms and coronas of C∗-algebras

Journal of Mathematical Logic 21 (2):2150006 (2021)
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Abstract

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.

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