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The Fourier algebra of a locally trivial groupoid
(University of Waterloo, 2012-01-10)
The goal of this thesis is to define and study the Fourier algebra A(G) of a locally compact groupoid G. If G is a locally compact group, its Fourier-Stieltjes algebra B(G) and its Fourier algebra A(G) were defined by ...
Von Neumann Algebras for Abstract Harmonic Analysis
(University of Waterloo, 2008-08-28)
This thesis develops the theory of operator algebras from the perspective of abstract harmonic analysis, and in particular, the theory of von Neumann algebras. Results from operator algebras are applied to the study of ...
Operator Spaces and Ideals in Fourier Algebras
(University of Waterloo, 2008-08-11)
In this thesis we study ideals in the Fourier algebra, A(G), of a locally compact group G. For a locally compact abelian group G, necessary conditions for a closed ideal in A(G) to be weakly complemented are given, ...