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Browsing University of Waterloo by Subject "C*-algebra"
Now showing items 1-4 of 4
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K-theory for C*-Algebras and for Topological Spaces
(University of Waterloo, 2015-04-27)K-theory is the study of a collection of abelian groups that are invariant to C*-algebras or to locally compact Hausdorff spaces. These groups are useful for distinguishing C*-algebras and topological spaces, and they are ... -
Non-local Quantum Systems with Infinite Entanglement
(University of Waterloo, 2022-08-18)The study of quantum entanglement under quantum information has mostly been done in the mathematical model of tensor product of Hilbert spaces. In infinite dimensions, this model cannot capture all cases of non-local ... -
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 ... -
Tracial and ideal structure of crossed products and related constructions
(University of Waterloo, 2022-08-17)In this thesis, we concern ourselves with asking questions about the basic structure of group C*-algebras, crossed products, and groupoid C*-algebras. Specifically, we are concerned with two main topics. One is the simplicity ...