Forcing axioms and coronas of $C^*$-algebras
Logic
2021-06-17 v3 Operator Algebras
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 -algebras with the metric approximation property and an increasing approximate identity of projections.
Keywords
Cite
@article{arxiv.1806.09676,
title = {Forcing axioms and coronas of $C^*$-algebras},
author = {Paul McKenney and Alessandro Vignati},
journal= {arXiv preprint arXiv:1806.09676},
year = {2021}
}
Comments
71 pages, appeared online in Journal of Mathematical Logic (Online version)