Farah, IlijasWang, Jiyu2023-12-082023-12-082023-12-08https://hdl.handle.net/10315/41649C*-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.Author owns copyright, except where explicitly noted. Please contact the author directly with licensing requests.MathematicsElectronic Thesis or Dissertation2023-12-08Operator algebrasC*-algebrasChoquet simplexTracial states