On the gauge action of a Leavitt path algebra.

DOI10.1215/21562261-2871740zbMath1332.16007arXiv1302.6949OpenAlexW3102669088MaRDI QIDQ2354132

María Guadalupe Corrales García, Dolores Martín Barquero, Cándido Martín González

Publication date: 10 July 2015

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

Full work available at URL: https://arxiv.org/abs/1302.6949

zbMATH Keywords

graph \(C^*\)-algebrasLaurent polynomial algebrasLeavitt path algebrasgauge actions

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) 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) General theory of (C^*)-algebras (46L05) Representations of quivers and partially ordered sets (16G20) Leavitt path algebras (16S88)

Cites Work

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• Leavitt path algebras with coefficients in a commutative ring.
• The classification question for Leavitt path algebras.
• The graded Grothendieck group and the classification of Leavitt path algebras.
• Leavitt path algebras
• Tensor products of Leavitt path algebras
• Applications of the Gauge-invariant uniqueness theorem for graph algebras
• Prime spectrum and primitive Leavitt path algebras
• Amenability for Fell bundles.