Browsing Pure Mathematics by Subject "C*-algebra"
Now showing items 1-3 of 3
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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 ... -
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 ...