Noetherian Leavitt path algebras and their regular algebras.

DOI10.1007/s00009-013-0320-yzbMath1308.16004arXiv1311.1064OpenAlexW2034834126MaRDI QIDQ382045

Gonzalo Aranda Pino, Lia Vaš

Publication date: 18 November 2013

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.1064

zbMATH Keywords

regular algebrasLeavitt path algebrasnonstable \(K\)-theoryrings of quotients

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) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) General theory of (C^*)-algebras (46L05) Representations of quivers and partially ordered sets (16G20) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items

\(K\)-theory classification of graded ultramatricial algebras with involution, Generalized quasi-Baer *-rings and Banach *-algebras, Chain conditions for epsilon-strongly graded rings with applications to Leavitt path algebras, On the homological dimensions of Leavitt path algebras with coefficients in commutative rings, Strongly semihereditary rings and rings with dimension., Chain conditions for graph C*-algebras, Canonical traces and directly finite Leavitt path algebras.

Cites Work

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• \(*\)-regular Leavitt path algebras of arbitrary graphs.
• On regular rings with involution
• A simplification of Morita's construction of total right rings of quotients for a class of rings.
• The regular algebra of a quiver.
• Locally finite Leavitt path algebras.
• Regularity conditions for arbitrary Leavitt path algebras.
• Perspectivity and cancellation in regular rings
• The maximal symmetric ring of quotients
• Module theory over Leavitt path algebras and \(K\)-theory.
• Nonstable \(K\)-theory for graph algebras.
• Dimension and torsion theories for a class of Baer *-rings.
• Uniqueness theorems and ideal structure for Leavitt path algebras
• Rings of quotients of incidence algebras and path algebras.
• The Leavitt path algebra of a graph.
• Two-Sided Localization of Bimodules
• PERFECT SYMMETRIC RINGS OF QUOTIENTS
• On Rings of Which Any One-Sided Quotient Rings are Two-Sided
• Coordination Applied to Finite Baer ∗ Rings
• The Regular Ring and the Maximal Ring of Quotients of a Finite Baer *-Ring
• Isomorphism and Morita equivalence of graph algebras
• Chain conditions for Leavitt path algebras
• Leavitt path algebras and direct limits
• On Isomorphisms of C ∗ -Algebras
• Coproducts and Some Universal Ring Constructions