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 C∗-algebras with the metric approximation property and an increasing approximate identity of projections.

中文翻译：

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C∗-代数的强迫公理和电晕

假设适当的强迫公理，我们证明了大类电晕代数的刚性结果。特别地，我们证明了 Coskey 和 Farah 的猜想对所有可分的C*- 具有度量近似属性和增加的投影近似身份的代数。