Complex Kumjian-Pask Algebras

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 fini...

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Veröffentlicht in:	Acta mathematica Sinica. English series 2013-11, Vol.29 (11), p.2073-2078
1. Verfasser:	Rosjanuardi, Rizky
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Graph theory Graphs Investigations K-图 K代数 Mathematical analysis Mathematics Mathematics and Statistics Studies 图代数有限维
Online-Zugang:	Volltext
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Zusammenfassung:	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.
ISSN:	1439-8516 1439-7617
DOI:	10.1007/s10114-013-2598-x