On the Modular Theory of von Neumann Algebras
dc.contributor.author | Boey, Edward | |
dc.date.accessioned | 2010-09-17 15:15:42 (GMT) | |
dc.date.available | 2010-09-17 15:15:42 (GMT) | |
dc.date.issued | 2010-09-17T15:15:42Z | |
dc.date.submitted | 2010 | |
dc.identifier.uri | http://hdl.handle.net/10012/5487 | |
dc.description.abstract | The purpose of this thesis is to provide an exposition of the \textit{modular theory} of von Neumann algebras. The motivation of the theory is to classify and describe von Neumann algebras which do not admit a trace, and in particular, type III factors. We replace traces with weights, and for a von Neumann algebra $\mathcal{M}$ which admits a weight $\phi$, we show the existence of an automorphic action $\sigma^\phi:\mathbb{R}\rightarrow\text{Aut}(\mathcal{M})$. After showing the existence of these actions we can discuss the crossed product construction, which will then allow us to study the structure of the algebra. | en |
dc.language.iso | en | en |
dc.publisher | University of Waterloo | en |
dc.subject | von Neumann algebras | en |
dc.subject | modular automorphism | en |
dc.title | On the Modular Theory of von Neumann Algebras | en |
dc.type | Master Thesis | en |
dc.pending | false | en |
dc.subject.program | Pure Mathematics | en |
uws-etd.degree.department | Pure Mathematics | en |
uws-etd.degree | Master of Mathematics | en |
uws.typeOfResource | Text | en |
uws.peerReviewStatus | Unreviewed | en |
uws.scholarLevel | Graduate | en |