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Now showing items 1-6 of 6

    • Applications of Operator Systems in Dynamics, Correlation Sets, and Quantum Graphs 

      Kim, Se Jin (University of Waterloo, 2020-07-24)
      The recent works of Kalantar-Kennedy, Katsoulis-Ramsey, Ozawa, and Dykema-Paulsen have demonstrated that many problems in the theory of operator algebras and quantum information can be approached by looking at various ...
    • Dilation methods in semigroup dynamics and noncommutative convexity 

      Humeniuk, Adam (University of Waterloo, 2022-08-25)
      Since seminal work of Stinespring, Arveson, and others, dilation theory has been an indispensable tool for understanding operator algebras. Dilations are fundamental to the representation theory of operator systems and ...
    • Nevanlinna-Pick Spaces and Dilations 

      Hartz, Michael Peter (University of Waterloo, 2016-07-12)
      The majority of this thesis is devoted to the study of Nevanlinna-Pick spaces and their multiplier algebras. These spaces are Hilbert function spaces in which a version of the Nevanlinna-Pick interpolation theorem from ...
    • Regular Dilation on Semigroups 

      Li, Boyu (University of Waterloo, 2018-08-07)
      Dilation theory originated from Sz.Nagy's celebrated dilation theorem which states that every contractive operator has an isometric dilation. Regular dilation is one of many fruitful directions that aims to generalize ...
    • Strong Morita Equivalence and Imprimitivity Theorems 

      Kim, Se-Jin (University of Waterloo, 2016-09-15)
      The purpose of this thesis is to give an exposition of two topics, mostly following the books \cite{R & W} and \cite{Wil}. First, we wish to investigate crossed product $C^*$-algebras in its most general form. Crossed ...
    • Techniques in operator algebras: classification, dilation and non-commutative boundary theory 

      Dor On, Adam (University of Waterloo, 2017-08-11)
      In this thesis we bring together several techniques in the theory of non-self-adjoint operator algebras and operator systems. We begin with classification of non-self-adjoint and self-adjoint operator algebras constructed ...


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