6 problems

Let $A$ and $D$ be separable and unital $\mathrm{C}^*$-algebras, with $D$ strongly self-absorbing. For a $\mathrm{C}^*$-algebra $B$, write $\mathcal Q(B)=\mathcal M(B)/B$ for its c…

Corona rigidity conjecture. CH implies that there are automorphisms of $\mathcal Q(A)$ that are not topologically trivial. Forcing Axioms imply that all isomorphisms between…

Let $X$ and $Y$ be second countable, locally compact, noncompact spaces. Write $X^*=\beta X\setminus X$ and $Y^*=\beta Y\setminus Y$, where $\beta X$ and $\beta Y$ are their Čech–S…

Let $\mathcal{A}$ be a separable, nonunital C-algebra, and let its corona be the quotient $\mathcal{Q}(\mathcal{A})=\mathcal{M}(\mathcal{A})/\mathcal{A}$ of its multiplier algebra…

Let $\mathcal{A}$ be a separable, nonunital C-algebra, and let its corona be the quotient $\mathcal{Q}(\mathcal{A})=\mathcal{M}(\mathcal{A})/\mathcal{A}$ of its multiplier algebra…

Forcing-axiom conjecture. Forcing axioms imply that $Q(A)$ has only trivial automorphisms.