Brenken, BerndtMcCann, Shawn Josephs2017-12-182017-12-182012http://hdl.handle.net/1880/106012Bibliography: p. 141-147Topological 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.vii, 150 leaves : ill. ; 30 cm.engUniversity 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.doctoral thesis10.11575/PRISM/5011