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
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