Cycles in Leavitt path algebras by means of idempotents.

DOI10.1515/forum-2011-0134zbMath1311.16004OpenAlexW2319565084MaRDI QIDQ487150

Jose Brox, Mercedes Siles Molina, Gonzalo Aranda Pino

Publication date: 19 January 2015

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum-2011-0134

zbMATH Keywords

primitive idempotentsgraph \(C^*\)-algebrasLeavitt path algebrasdual graphscondition (L)condition (NE)infinite idempotents

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) General theory of (C^*)-algebras (46L05) Representations of quivers and partially ordered sets (16G20) Leavitt path algebras (16S88)

Related Items (6)

Construction of a class of maximal commutative subalgebras of prime Leavitt path algebras ⋮ Invariant ideals in Leavitt path algebras ⋮ Largest ideals in Leavitt path algebras ⋮ Unnamed Item ⋮ Graph algebras and the Gelfand–Kirillov dimension ⋮ GRADED CHAIN CONDITIONS AND LEAVITT PATH ALGEBRAS OF NO-EXIT GRAPHS

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