On the Simplicity of the Lie Algebra of a Leavitt Path Algebra

DOI10.1080/00927872.2015.1130132zbMath1354.16033arXiv1304.1922OpenAlexW2405181531MaRDI QIDQ2817215

Hamed H. Alsulami, Adel Alahmedi

Publication date: 29 August 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.1922

zbMATH Keywords

Lie algebrasimplicityLeavitt path algebraCuntz-Krieger C*-algebraLie algebra simplicity

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) General theory of (C^*)-algebras (46L05) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Leavitt path algebras (16S88)

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Cites Work

• Exchange Leavitt path algebras and stable rank
• Simple Lie algebras arising from Leavitt path algebras.
• The center of a Leavitt path algebra.
• Nonstable \(K\)-theory for graph algebras.
• Uniqueness theorems and ideal structure for Leavitt path algebras
• The Leavitt path algebra of a graph.
• LEAVITT PATH ALGEBRAS OF FINITE GELFAND–KIRILLOV DIMENSION
• Chain conditions for Leavitt path algebras
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