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Complex Kumjian–Pask Algebras
基金项目:Supported by Universitas Pendidikan Indonesia (Indonesia University of Education) Research Grant-Hibah Dosen Peneliti (Grant No. 558/UN.40.8/LT/2012)Acknowledgements This research was completed when the author visited the Department of Mathematics of Gunma University, Japan. The author appreciates warm hospitality of the faculty members, and especially to Prof. Takashi ITOH for valuable discussion and constructive suggestions. Also the author thanks to anonymous Referee for valuable corrections.
摘    要:LetΛbe a row-fnitek-graph without sources.We investigate the relationship between the complex Kumjian-Pask algebra KPC(Λ)and graph algebra C(Λ).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 fnite-dimensional.

关 键 词:Graph  algebra  k-graph  Kumjian–Pask  algebra  Leavitt-path  algebra

Complex Kumjian-Pask algebras
Authors:Rizky Rosjanuardi
Affiliation:1. Jurusan Pendidikan Matematika, Universitas Pendidikan Indonesia, Bandung, 40154, Indonesia
Abstract:Graph algebra, k-graph, Kumjian-Pask Mgebra, Leavitt-path algebra
Keywords:Graph algebra  k-graph  Kumjian-Pask Mgebra  Leavitt-path algebra
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