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- W2715739883 abstract "Given a nonunital $mathrm{C}^*$-algebra $A$ one constructs its corona algebra $mathcal M(A)/A$. This is the noncommutative analog of the Cech-Stone remainder of a topological space. We analyze the two faces of these algebras: the first one is given assuming CH, and the other one arises when Forcing Axioms are assumed. In their first face, corona $mathrm{C}^*$-algebras have a large group of automorphisms that includes nondefinable ones. The second face is the Forcing Axiom one; here the automorphism group of a corona $mathrm{C}^*$-algebra is as rigid as possible, including only definable elements" @default.
- W2715739883 created "2017-06-30" @default.
- W2715739883 creator A5071168027 @default.
- W2715739883 date "2017-04-21" @default.
- W2715739883 modified "2023-10-03" @default.
- W2715739883 title "Logic and $mathrm{C}^*$-algebras: set theoretical dichotomies in the theory of continuous quotients" @default.
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