C*-algebras associated with topological group quivers
Date
2012
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Topological 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.
Description
Bibliography: p. 141-147
Keywords
Citation
McCann, 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/5011