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.
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Victoria Univ Wellington, Sch Math & Stat, POB 600, Wellington 6140, New ZealandVictoria Univ Wellington, Sch Math & Stat, POB 600, Wellington 6140, New Zealand
Huef, Astrid An
Ng, Abraham C. S.
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Univ Wollongong, Sch Math & Appl Stat, Wollongong, NSW 2522, AustraliaVictoria Univ Wellington, Sch Math & Stat, POB 600, Wellington 6140, New Zealand
Ng, Abraham C. S.
Sims, Aidan
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Univ Wollongong, Sch Math & Appl Stat, Wollongong, NSW 2522, AustraliaVictoria Univ Wellington, Sch Math & Stat, POB 600, Wellington 6140, New Zealand
机构:
Hebei Normal Univ, Postdoctoral Res Stn Math, Shijiazhuang 050024, Hebei, Peoples R ChinaHebei Normal Univ, Postdoctoral Res Stn Math, Shijiazhuang 050024, Hebei, Peoples R China
An, Qingnan
Elliott, George A.
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Univ Toronto, Dept Math, Toronto, ON M5S 2E4, CanadaHebei Normal Univ, Postdoctoral Res Stn Math, Shijiazhuang 050024, Hebei, Peoples R China
Elliott, George A.
Li, Zhiqiang
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Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R ChinaHebei Normal Univ, Postdoctoral Res Stn Math, Shijiazhuang 050024, Hebei, Peoples R China
Li, Zhiqiang
Liu, Zhichao
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Hebei Normal Univ, Postdoctoral Res Stn Math, Shijiazhuang 050024, Hebei, Peoples R ChinaHebei Normal Univ, Postdoctoral Res Stn Math, Shijiazhuang 050024, Hebei, Peoples R China