Complex Kumjian–Pask Algebras

Complex Kumjian–Pask Algebras

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摘要 Let A be a row-finite k-graph without sources. We investigate the relationship between the complex Kumjian-Pask algebra KPc（A） and graph algebra C＊（A）. We identify situations in which the Kumjian-Pask algebra is equal to the graph algebra, and the conditions in which the Kumjian-Pask algebra is finite-dimensional. Let A be a row-finite k-graph without sources. We investigate the relationship between the complex Kumjian-Pask algebra KPc（A） and graph algebra C＊（A）. We identify situations in which the Kumjian-Pask algebra is equal to the graph algebra, and the conditions in which the Kumjian-Pask algebra is finite-dimensional.

作者 Rizky ROSJANUARDI

机构地区 Jurusan Pendidikan Matematika

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2013年第11期2073-2078,共6页 数学学报（英文版）

基金 Supported by Universitas Pendidikan Indonesia(Indonesia University of Education) Research Grant-Hibah Dosen Peneliti(Grant No.558/UN.40.8/LT/2012)

关键词 Graph algebra k-graph Kumjian-Pask Mgebra Leavitt-path algebra Graph algebra, k-graph, Kumjian-Pask Mgebra, Leavitt-path algebra

分类号 O153 [理学—基础数学]

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参考文献8

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Acta Mathematica Sinica,English Series

2013年第11期

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Complex Kumjian–Pask Algebras

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