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:
Department of Mathematics, University of Toronto
School of Mathematical Sciences, Dalian University of TechnologySchool of Mathematical Sciences, Hebei Normal University
Zhichao Liu
Yuanhang Zhang
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机构:
School of Mathematics, Jilin UniversitySchool of Mathematical Sciences, Hebei Normal University
机构:
Univ Toronto, Dept Math, Toronto, ON M5S 2EA, Canada
Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R ChinaHebei Normal Univ, Sch Math Sci, Shijiazhuang 050024, Peoples R China
Liu, Zhichao
Zhang, Yuanhang
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机构:
Jilin Univ, Sch Math, Changchun 130012, Peoples R ChinaHebei Normal Univ, Sch Math Sci, Shijiazhuang 050024, Peoples R China