期刊论文详细信息
Canadian mathematical bulletin | |
Faithful Representations of Graph Algebras via Branching Systems | |
Daniel Gonçalves1  Danilo Royer1  Hui Li2  | |
[1] Departamento de Matemática - Universidade Federal de Santa Catarina, Florianópolis, 88040-900, Brazil;Research Center for Operator Algebras, Department of Mathematics, East China Normal University (Minhang Campus), 500 Dongchuan Road, Minhang District, Shanghai 200241, China | |
关键词: C*-algebra; graph algebra; Leavitt path algebra; branching system; representation; | |
DOI : 10.4153/CMB-2015-032-x | |
学科分类:数学(综合) | |
来源: University of Toronto Press * Journals Division | |
【 摘 要 】
We continue to investigate branching systems of directed graphs and their connections with graph algebras. We give a sufficient condition under which the representation induced from a branching system of a directed graph is faithful and construct a large class of branching systems that satisfy this condition. We finish the paper by providing a proof of the converse of the Cuntz-Kriegeruniqueness theorem for graph algebras by means of branching systems.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912050577182ZK.pdf | 10KB | download |