Logic and C*-Algebras: Set Theoretical Dichotomies in the Theory of Continuous Quotients
| dc.contributor.advisor | Farah, Ilijas | |
| dc.creator | Vignati, Alessandro | |
| dc.date.accessioned | 2018-03-01T13:47:45Z | |
| dc.date.available | 2018-03-01T13:47:45Z | |
| dc.date.copyright | 2017-04-21 | |
| dc.date.issued | 2018-03-01 | |
| dc.date.updated | 2018-03-01T13:47:45Z | |
| dc.degree.discipline | Mathematics & Statistics | |
| dc.degree.level | Doctoral | |
| dc.degree.name | PhD - Doctor of Philosophy | |
| dc.description.abstract | Given a nonunital C*-algebra A one constructs its corona algebra 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 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 C*-algebra is as rigid as possible, including only definable elements. | |
| dc.identifier.uri | http://hdl.handle.net/10315/34266 | |
| dc.language.iso | en | |
| dc.rights | Author owns copyright, except where explicitly noted. Please contact the author directly with licensing requests. | |
| dc.subject | Logic | |
| dc.subject.keywords | C*-algebras | |
| dc.subject.keywords | Set theory | |
| dc.subject.keywords | Forcing axioms | |
| dc.title | Logic and C*-Algebras: Set Theoretical Dichotomies in the Theory of Continuous Quotients | |
| dc.type | Electronic Thesis or Dissertation |
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