C*-algebras associated with topological group quivers II: K-groups
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 a locally compact group and α and β endomorphisms on , one may construct a topological quiver Qα,β() with vertex set , and edge set α,β()= \(x,y)∈× α(y)=β(x)\. In Mc1, the author examined the Cuntz-Pimsner algebra α,β():=C*(Qα,β()) and found generators (and their relations) of α,β(). In this paper, the author uses this information to create a six term exact sequence in order to calculate the K-groups of α,β().
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