Logic and ${\mathrm{C}}^{\ast }$-algebras: set theoretical dichotomies in the theory of continuous quotients

Alessandro Vignati

Given a nonunital ${\mathrm{C}}^{\ast }$-algebra $A$ one constructs its corona algebra $\mathcal{M}(A)/A$. This is the noncommutative analog of the Čech-Stone remainder of a topological spa…