C*-algebras associated with topological group quivers II: K-groups

zbMATH Open1346.46048arXiv1301.7347MaRDI QIDQ3453536

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Publication date: 27 November 2015

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 $C^{\ast }$-correspondence, and in turn, a Cuntz-Pimsner algebra $C^{\ast }(Q).$ Given $Gamma$ a locally compact group and $alpha$ and $$ endomorphisms on $Gamma,$ one may construct a topological quiver $$ with vertex set $Gamma,$ and edge set $$ In cite{Mc1}, the author examined the Cuntz-Pimsner algebra $$ and found generators (and their relations) of $$ In this paper, the author uses this information to create a six term exact sequence in order to calculate the $K$-groups of $$

Full work available at URL: https://arxiv.org/abs/1301.7347

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