J. Aust. Math. Soc.  77 (2004), 141-147
Real rank of $C^*$-algebras associated with graphs

Ja A Jeong
  BK21
  Mathematical Sciences Division
  Seoul National University
  Seoul 151-742
  Korea
  jajeong@math.snu.ac.kr


Abstract
For a locally finite directed graph $E$, it is known that the graph $C^*$-algebra $C^*(E)$ has real rank zero if and only if the graph $E$ satisfies the loop condition (K). In this paper we extend this to an arbitrary directed graph case using the desingularization of a graph due to Drinen and Tomforde.
Download the article in PDF format (size 72 Kb)

TeXAdel Scientific Publishing ©  Australian MS