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Von Neumann Algebras for Abstract Harmonic Analysis

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thesis.pdf (730.14 KB)

Date

2008-08-28T14:54:35Z

Authors

Zwarich, Cameron

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University of Waterloo

Abstract

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 spaces of coefficient functions of unitary representations of locally compact groups, and in particular, the Fourier algebra of a locally compact group. The final result, which requires most of the material developed in earlier sections, is that the group von Neumann algebra of a locally compact group is in standard form.

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Keywords

von Neumann algebras, abstract harmonic analysis, Fourier algebra, standard form

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http://hdl.handle.net/10012/3920

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Theses
Pure Mathematics