ON THE CLASSIFICATION OF C-ASTERISK-ALGEBRAS OF REAL RANK ZERO - INDUCTIVE LIMITS OF MATRIX ALGEBRAS OVER NON-HAUSDORFF GRAPHS

In this paper a K-theoretic classification is given of the real rank zero C*-algebras that can be expressed as inductive limits of sequences of finite direct sums of matrix algebras over finite connected graphs (possibly with multiple vertices). The special case that the graphs are circles is due to Elliott.