UWSpace will be migrating to a new version of its software from July 29th to August 1st. UWSpace will be offline for all UW community members during this time.

Show simple item record

dc.contributor.authorBoey, Edward
dc.date.accessioned2010-09-17 15:15:42 (GMT)
dc.date.available2010-09-17 15:15:42 (GMT)
dc.description.abstractThe 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.publisherUniversity of Waterlooen
dc.subjectvon Neumann algebrasen
dc.subjectmodular automorphismen
dc.titleOn the Modular Theory of von Neumann Algebrasen
dc.typeMaster Thesisen
dc.subject.programPure Mathematicsen
uws-etd.degree.departmentPure Mathematicsen
uws-etd.degreeMaster of Mathematicsen

Files in this item


This item appears in the following Collection(s)

Show simple item record


University of Waterloo Library
200 University Avenue West
Waterloo, Ontario, Canada N2L 3G1
519 888 4883

All items in UWSpace are protected by copyright, with all rights reserved.

DSpace software

Service outages