Browsing Theses by Subject "C*-envelope"
Now showing items 1-3 of 3
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Dilation methods in semigroup dynamics and noncommutative convexity
(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 ... -
Semicrossed Products, Dilations, and Jacobson Radicals
(University of Waterloo, 2017-08-18)We compute the C*-envelope of the isometric semicrossed product of a C*-algebra arising from number theory by the multiplicative semigroup of a number ring R, and prove that it is isomorphic to T[R], the left regular ... -
Techniques in operator algebras: classification, dilation and non-commutative boundary theory
(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 ...