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| Title: | Von Neumann Algebras for Abstract Harmonic Analysis |
| Authors: | Zwarich, Cameron |
| Keywords: | von Neumann algebras
abstract harmonic analysis
Fourier algebra
standard form |
| Approved Date: | 28-Aug-2008 |
| Date Submitted: | 2008 |
| 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. |
| Program: | Pure Mathematics |
| Department: | Pure Mathematics |
| Degree: | Master of Mathematics |
| URI: | http://hdl.handle.net/10012/3920 |
| Appears in Collections: | Electronic Theses and Dissertations (UW)
Faculty of Mathematics Theses and Dissertations
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