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Tracial simplex of every unital C*-algebra is a Choquet simplex

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dc.contributor.advisorFarah, Ilijas
dc.contributor.authorWang, Jiyu
dc.date.accessioned2023-12-08T14:29:48Z
dc.date.available2023-12-08T14:29:48Z
dc.date.issued2023-12-08
dc.date.updated2023-12-08T14:29:47Z
dc.degree.disciplineMathematics & Statistics
dc.degree.levelMaster's
dc.degree.nameMA - Master of Arts
dc.description.abstractC*-algebras are norm-closed self-adjoint subalgebras of bounded linear operators on a complex Hilbert space. Choquet simplex is a special type of compact convex set with a unique representation property. The goal of this thesis is to find a self-contained and easily accessible proof of the classical fact that the set of tracial states of a unital C*-algebra is a Choquet simplex.
dc.identifier.urihttps://hdl.handle.net/10315/41649
dc.languageen
dc.rightsAuthor owns copyright, except where explicitly noted. Please contact the author directly with licensing requests.
dc.subjectMathematics
dc.subject.keywordsOperator algebras
dc.subject.keywordsC*-algebras
dc.subject.keywordsChoquet simplex
dc.subject.keywordsTracial states
dc.titleTracial simplex of every unital C*-algebra is a Choquet simplex
dc.typeElectronic Thesis or Dissertation

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