Show simple item record

dc.contributor.authorGeorgescu, Magdalenaen 14:01:19 (GMT) 14:01:19 (GMT)
dc.description.abstractThis is an expository thesis which addresses the requirements for an operator algebra to be similar to a <em>C</em>*-algebra. It has been conjectured that this similarity condition is equivalent to either amenability or total reductivity; however, the problem has only been solved for specific types of operators. <br /><br /> We define amenability and total reductivity, as well as present some of the implications of these properties. For the purpose of establishing the desired result in specific cases, we describe the properties of two well-known types of operators, namely the compact operators and quasitriangular operators. Finally, we show that if A is an algebra of compact operators or of triangular operators then A is similar to a <em>C</em>* algebra if and only if it has the total reduction property.en
dc.format.extent466944 bytes
dc.publisherUniversity of Waterlooen
dc.rightsCopyright: 2006, Georgescu, Magdalena. All rights reserved.en
dc.subjecttotal reductionen
dc.subjectinvariant subspacesen
dc.subjectsimilarity problemsen
dc.titleOn the Similarity of Operator Algebras to C*-Algebrasen
dc.typeMaster Thesisen
dc.pendingfalseen 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