Compact graph \(C^\ast\)-algebras

DOI10.1007/s13163-011-0084-5zbMath1285.46040OpenAlexW2028908730MaRDI QIDQ365125

Gonzalo Aranda Pino, Cándido Martín González, Dolores Martín Barquero, Mercedes Siles Molina

Publication date: 4 September 2013

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-011-0084-5

zbMATH Keywords

graph \(C^\ast\)-algebracompact \(C^\ast\)-algebraLeavitt path algebra

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) Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) Representations of quivers and partially ordered sets (16G20)

Cites Work

• Weakly regular and self-injective Leavitt path algebras over arbitrary graphs.
• Purely infinite simple Leavitt path algebras.
• Exchange Leavitt path algebras and stable rank
• Finite-dimensional Leavitt path algebras.
• Socle theory for Leavitt path algebras of arbitrary graphs.
• The \(C^*\)-algebras of row-finite graphs
• The socle series of a Leavitt path algebra.
• Leavitt path algebras
• Nonstable \(K\)-theory for graph algebras.
• The socle of a Leavitt path algebra.
• Uniqueness theorems and ideal structure for Leavitt path algebras
• The Leavitt path algebra of a graph.
• Non-simple purely infinite rings
• Chain conditions for Leavitt path algebras
• Compact Banach Algebras
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