Some notes on complex Kumjian-Pask algebras of finitely aligned k -graphs

Rizky Rosjanuardi

doi:10.1063/1.4980976

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Some notes on complex Kumjian-Pask algebras of finitely aligned k -graphs

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Rizky Rosjanuardi

2017 AIP Conference Proceedings Vol. 1830 Conference paper Cited by 3 SDG 16

Abstract

Suppose λ is a finitely aligned k-graph. In this paper we present some conditions for the k-graph λ in order the complex Kumjian-Pask algebra KP⊂(λ) is finite dimensional. This is an improvement for the previous results when the k-graph λ is row finite without sources and when λ is locally convex row finite k-graph. We also characterise simple Kumjian-Pask algebra KPR(λ) © 2017 Author(s).

Affiliations

Department of Mathematics Education, Universitas Pendidikan Indonesia, Bandung, 40154, Indonesia

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