Shift and Quasi-Shift Endomorphisms Associated with Representations of Cuntz Algebras

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dc.contributor.advisorFloricel, Remus
dc.contributor.authorWood, Clifford Tyler
dc.contributor.committeememberArgerami, Martin
dc.contributor.committeememberFarenick, Douglas
dc.contributor.externalexaminerMobed, Nader
dc.date.accessioned2013-10-31T14:21:20Z
dc.date.available2013-10-31T14:21:20Z
dc.date.issued2012-12-14
dc.descriptionA Thesis Submitted to the Faculty of Graduate Studies and Research In Partial Fulfillment of the Requirements for the Degree of Master of Science in Mathematics, University of Regina. v, 67 l.en_US
dc.description.abstractWe present an overview of the main literature regarding *-endomorphisms of the von Neumann algebra B(H), the bounded linear operators on a separable, in nite- dimensional Hilbert space H. In doing so, we follow the established technique of ex- ploiting the surjective correspondence with non-degenerate representations of Toeplitz- Cuntz algebras. Moreover, we introduce an unstudied class of endomorphism, which we call quasi-shift endomorphisms, and show that they are determined by the well- known class of shift endomorphisms. This is original research adapted from our recent pre-print Quasi-shift Endomorphisms Associated with Representations of Cuntz Alge- bras [13]. ien_US
dc.description.authorstatusStudenten
dc.description.peerreviewyesen
dc.identifier.tcnumberTC-SRU-3814
dc.identifier.thesisurlhttp://ourspace.uregina.ca/bitstream/handle/10294/3814/Wood_Clifford_Tyler_200254949_MSC_MATH_Spring2012.pdf
dc.identifier.urihttps://hdl.handle.net/10294/3814
dc.language.isoenen_US
dc.publisherFaculty of Graduate Studies and Research, University of Reginaen_US
dc.subject.lcshEndomorphisms (Group theory)
dc.subject.lcshVon Neumann algebras
dc.subject.lcshHilbert space
dc.subject.lcshToeplitz operators
dc.titleShift and Quasi-Shift Endomorphisms Associated with Representations of Cuntz Algebrasen_US
dc.typeThesisen
thesis.degree.departmentDepartment of Mathematics and Statisticsen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorUniversity of Reginaen
thesis.degree.levelMaster'sen
thesis.degree.nameMaster of Science (MSc)en_US
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