Structure of Leavitt path algebras of polynomial growth

DOI10.1073/pnas.1311216110zbMath1296.16008arXiv1401.2140OpenAlexW1986007246WikidataQ37191977 ScholiaQ37191977MaRDI QIDQ5170974

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Publication date: 25 July 2014

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.2140

zbMATH Keywords

involutionsautomorphismsCuntz-Krieger algebrasalgebras of polynomial growthLeavitt path algebrasrow-finite graphs

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Growth rate, Gelfand-Kirillov dimension (16P90) 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)

Related Items

Completions of Leavitt path algebras. ⋮ Wreath products by a leavitt path algebra and affinizations ⋮ On the Toeplitz-Jacobson algebra and direct finiteness ⋮ Basic One-Sided Ideals of Leavitt Path Algebras over Commutative Rings ⋮ On ultragraph Leavitt path algebras with finite Gelfand-Kirillov dimension ⋮ An introduction to a supersymmetric graph algebra ⋮ The Groupoid Approach to Leavitt Path Algebras ⋮ Ideal extensions and directly infinite algebras ⋮ Representations of Leavitt path algebras ⋮ Leavitt path algebras: the first decade

Cites Work

• The group of automorphisms of the Jacobian algebra \(\mathbb A_n\).
• Algebras of quotients of path algebras.
• Cuntz-Krieger algebras of directed graphs
• A class of C*-algebras and topological Markov chains II: Reducible chains and the Ext-functor for C*-algebras
• Simple \(C^*\)-algebras generated by isometries
• Nonstable \(K\)-theory for graph algebras.
• Periodic simple groups of finitary linear transformations.
• The Leavitt path algebra of a graph.
• Isomorphism and Morita equivalence of graph algebras

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