STRUCTURE THEORY AND STABLE RANK FOR C*-ALGEBRAS OF FINITE HIGHER-RANK GRAPHS

We study the structure and compute the stable rank of C*-algebras of finite higher-rank graphs. We completely determine the stable rank of the C*-algebra when the k-graph either contains no cycle with an entrance or is cofinal. We also determine exactly which finite, locally convex k-graphs yield unital stably finite C*-algebras. We give several examples to illustrate our results.