Logic and C*-Algebras: Set Theoretical Dichotomies in the Theory of Continuous Quotients

dc.contributor.advisorFarah, Ilijas
dc.creatorVignati, Alessandro
dc.date.accessioned2018-03-01T13:47:45Z
dc.date.available2018-03-01T13:47:45Z
dc.date.copyright2017-04-21
dc.date.issued2018-03-01
dc.date.updated2018-03-01T13:47:45Z
dc.degree.disciplineMathematics & Statistics
dc.degree.levelDoctoral
dc.degree.namePhD - Doctor of Philosophy
dc.description.abstractGiven 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.urihttp://hdl.handle.net/10315/34266
dc.language.isoen
dc.rightsAuthor owns copyright, except where explicitly noted. Please contact the author directly with licensing requests.
dc.subjectLogic
dc.subject.keywordsC*-algebras
dc.subject.keywordsSet theory
dc.subject.keywordsForcing axioms
dc.titleLogic and C*-Algebras: Set Theoretical Dichotomies in the Theory of Continuous Quotients
dc.typeElectronic Thesis or Dissertation

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