C*-algebras associated with topological group quivers

Simple item page
dc.contributor.advisorBrenken, Berndt
dc.contributor.authorMcCann, Shawn Josephs
dc.date.accessioned2017-12-18T22:36:42Z
dc.date.available2017-12-18T22:36:42Z
dc.date.issued2012
dc.descriptionBibliography: p. 141-147en
dc.description.abstractTopological quivers generalize the notion of directed graphs in which the sets of ver­tices and edges are locally compact (second countable) Hausdorff spaces. Associated to a topological quiver Q is a C*-correspondence, and in turn, a Cuntz-Pimsner algebra C*(Q). Given r a locally compact group and a and (3 endomorphisms on r, one may construct a topological quiver Qae,,a(r) with vertex set r, and edge set n ,,8 (r) = { ( X ) y) E r X r I a(y) = (3( X)}. In this dissertation, the author examines the Cuntz-Pimsner algebra C* ( Q a,,B (r)). The investigative topics include generators of the C*-algebras, spatial structure (i.e., colimits, tensor products and crossed prod­ucts), K-groups, simplicity, and lattice properties.
dc.format.extentvii, 150 leaves : ill. ; 30 cm.en
dc.identifier.citationMcCann, S. J. (2012). C*-algebras associated with topological group quivers (Doctoral thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca. doi:10.11575/PRISM/5011en_US
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/5011
dc.identifier.urihttp://hdl.handle.net/1880/106012
dc.language.isoeng
dc.publisher.institutionUniversity of Calgaryen
dc.publisher.placeCalgaryen
dc.rightsUniversity of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.
dc.titleC*-algebras associated with topological group quivers
dc.typedoctoral thesis
thesis.degree.disciplineMathematics and Statistics
thesis.degree.grantorUniversity of Calgary
thesis.degree.nameDoctor of Philosophy (PhD)
ucalgary.item.requestcopytrue
ucalgary.thesis.accessionTheses Collection 58.002:Box 2113 627942983
ucalgary.thesis.notesUARCen
ucalgary.thesis.uarcreleaseyen
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
thesis_McCann_2012.pdf
Size:
45.29 MB
Format:
Adobe Portable Document Format
Description:
Thesis
Download
Collections
Legacy Theses