This talk is the second part of Farah’s talk from two weeks ago. From a coarse metric space X one associates a C*-algebra known as the Uniform Roe algebra of X. This algebra has a canonical quotient called the Uniform Roe corona of X. We study the question of what information on spaces X and Y one can infer when the Uniform Roe coronas of X and Y are isomorphic, and how answers to this question depend on the set theoretical axioms in play. This is joint work with Bruno Braga and Ilijas Farah.

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