ABSTRACT
In this chapter, we compute K0-groups of C∗-algebras AG generated by graph groupoidsG of “connected” directed graphsG. In particular, we are interested in the case where the C∗-algebras AG induced by connected graphs G are realized under the canonical representations of G. Our computations Kn(AG) (i) provide interesting examples in K-theory, (ii) classify projections induced by vertices of graphs, and (iii) indicate how the combinatorial data of G act in K-theory.
