Embeddability of higher-rank graphs in groupoids, and the structure of
their C*-algebras
Embeddability of higher-rank graphs in groupoids, and the structure of
their C*-algebras
We show that the C*-algebra of a row-finite source-free k-graph is Rieffel-Morita equivalent to a crossed product of an AF algebra by the fundamental group of the k-graph. When the k-graph embeds in its fundamental groupoid, this AF algebra is a Fell algebra; and simple-connectedness of a certain sub-1-graph characterises …