TRACES ON SEMIGROUP RINGS AND LEAVITT PATH ALGEBRAS

DOI10.1017/S0017089515000087zbMath1350.16019arXiv1502.03766MaRDI QIDQ3461913

Lia Vaš, Zachary Mesyan

Publication date: 18 January 2016

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.03766

zbMATH Keywords

semigroup ringstracesLeavitt path algebrasgraph inverse semigroupscentral maps

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Ordinary and skew polynomial rings and semigroup rings (16S36) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) General theory of (C^*)-algebras (46L05) Representations of quivers and partially ordered sets (16G20) Semigroup rings, multiplicative semigroups of rings (20M25) Leavitt path algebras (16S88)

Related Items

Baer and Baer \(\ast\)-ring characterizations of Leavitt path algebras ⋮ \(K\)-theory classification of graded ultramatricial algebras with involution ⋮ GRADED CHAIN CONDITIONS AND LEAVITT PATH ALGEBRAS OF NO-EXIT GRAPHS ⋮ Lie solvable Leavitt path algebras ⋮ Canonical traces and directly finite Leavitt path algebras.

Cites Work

• \(*\)-regular Leavitt path algebras of arbitrary graphs.
• Commutator Leavitt path algebras.
• Graph inverse semigroups: their characterization and completion.
• Noncommutative manifolds from graph and \(k\)-graph \(C^*\)-algebras
• The noncommutative geometry of graph \(C^*\)-algebras. I: The index theorem
• Inverse semigroups on graphs
• Simple Lie algebras arising from Leavitt path algebras.
• Nonstable \(K\)-theory for graph algebras.
• The Leavitt path algebra of a graph.
• WHAT IS...a Leavitt path algebra?
• Commutator rings
• Chain conditions for Leavitt path algebras
• ON SUBSHIFTS AND SEMIGROUPS

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