Prime and primitive Kumjian–Pask algebras

DOI10.1142/S0219498817501699zbMath1382.16042arXiv1512.00797MaRDI QIDQ5276016

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Publication date: 14 July 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.00797

zbMATH Keywords

prime idealhigher-rank graphprimitive idealKumjian-Pask algebra

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Graded rings and modules (associative rings and algebras) (16W50) Associative rings and algebras arising under various constructions (16S99)

Related Items

Simple modules for Kumjian-Pask algebras ⋮ Primitive ideal space of higher-rank graph \(C^\ast\)-algebras and decomposability

Cites Work

• The theory of prime ideals of Leavitt path algebras over arbitrary graphs.
• Kumjian-Pask algebras of locally convex higher-rank graphs.
• Leavitt path algebras with coefficients in a commutative ring.
• Simplicity of \(C^*\)-algebras associated to row-finite locally convex higher-rank graphs
• On the primitivity of prime rings
• Higher rank graph \(C^*\)-algebras
• Nonstable \(K\)-theory for graph algebras.
• The Leavitt path algebra of a graph.
• Kumjian-Pask algebras of higher-rank graphs
• Ideal Structure of Leavitt Path Algebras with Coefficients in a Unital Commutative Ring
• Prime spectrum and primitive Leavitt path algebras
• The Module Type of a Ring
• Affine buildings, tiling systems and higher rank Cuntz-Krieger algebras
• HIGHER-RANK GRAPHS AND THEIR $C^*$-ALGEBRAS
• On prime nonprimitive von Neumann regular algebras
• Aperiodicity and primitive ideals of row-finite k-graphs
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