dc.contributor.advisor | Smith, Roger | |
dc.creator | Chan, Wai | |
dc.date.accessioned | 2015-10-29T18:50:43Z | |
dc.date.available | 2015-10-29T18:50:43Z | |
dc.date.created | 2015-08 | |
dc.date.issued | 2015-05-27 | |
dc.date.submitted | August 2015 | |
dc.identifier.uri | https://hdl.handle.net/1969.1/155390 | |
dc.description.abstract | Given two von Neumann algebras M and N acting on the same Hilbert space, d(M;N) is defined to be the Hausdor distance between their unit balls. The Kadison-Kastler problem asks whether two sufficiently close von Neumann algebras are spatially isomorphic. In this article, we show that if P0 is an injective von Neumann algebra with a cyclic tracial vector, G is a free group, α is a free action of G on P0 and N is a von Neumann algebra such that d(N; P0 x| α G) < 1/7 • 10^-7, then N and P0 x| α G are spatially isomorphic. Suitable choices of the actions give the first examples of infinite noninjective factors for which this problem has a positive solution. | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | en | |
dc.subject | von Neumann algebras | en |
dc.subject | crossed product algebras | en |
dc.subject | perturbation | en |
dc.title | Perturbations of Certain Crossed Product Algebras by Free Groups | en |
dc.type | Thesis | en |
thesis.degree.department | Mathematics | en |
thesis.degree.discipline | Mathematics | en |
thesis.degree.grantor | Texas A & M University | en |
thesis.degree.name | Doctor of Philosophy | en |
thesis.degree.level | Doctoral | en |
dc.contributor.committeeMember | Dykema, Ken | |
dc.contributor.committeeMember | Kerr, David | |
dc.contributor.committeeMember | Dahm, Fred | |
dc.type.material | text | en |
dc.date.updated | 2015-10-29T18:50:43Z | |
local.etdauthor.orcid | 0000-0002-0436-0439 | |