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.
机构:
Newcastle Univ, Sch Math Stat & Phys, Newcastle Upon Tyne NH 7RU, Tyne & Wear, EnglandNewcastle Univ, Sch Math Stat & Phys, Newcastle Upon Tyne NH 7RU, Tyne & Wear, England