Leavitt path algebras are graded von Neumann regular rings.

DOI10.1016/j.jalgebra.2013.10.037zbMath1303.16005arXiv1305.1430OpenAlexW2964030193MaRDI QIDQ397982

Roozbeh Hazrat

Publication date: 12 August 2014

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

Full work available at URL: https://arxiv.org/abs/1305.1430

zbMATH Keywords

Leavitt path algebrasgraded regular ringsgraded von Neumann regular rings

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Representations of quivers and partially ordered sets (16G20) Graded rings and modules (associative rings and algebras) (16W50) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

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Cites Work

• The graded structure of Leavitt path algebras.
• Regularity conditions for arbitrary Leavitt path algebras.
• Fractional skew monoid rings.
• Nonstable \(K\)-theory for graph algebras.
• Uniqueness theorems and ideal structure for Leavitt path algebras
• The \(C^*\)-algebras of arbitrary graphs
• The Leavitt path algebra of a graph.
• Graded Rings and Graded Grothendieck Groups
• Leavitt path algebras and direct limits
• Unnamed Item
• Unnamed Item

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