Classification of unital simple Leavitt path algebras of infinite graphs.

DOI10.1016/j.jalgebra.2013.03.004zbMath1336.16005arXiv1210.6094OpenAlexW2964172532MaRDI QIDQ2437456

Efren Ruiz, Mark Tomforde

Publication date: 3 March 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.6094

zbMATH Keywords

Morita equivalencesgraph \(C^*\)-algebrasgraph algebrasflow equivalencessimple Leavitt path algebras

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) 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) Classifications of (C^*)-algebras (46L35) Symbolic dynamics (37B10) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (9)

\(L_{2,\mathbb Z}\otimes L_{2,\mathbb Z}\) does not embed in \(L_{2,\mathbb Z}\). ⋮ The talented monoid of a directed graph with applications to graph algebras ⋮ The Cuntz splice does not preserve \(\ast\)-isomorphism of Leavitt path algebras over \(\mathbb{Z}\) ⋮ \(K\)-theory classification of graded ultramatricial algebras with involution ⋮ ALGEBRAIC CUNTZ–KRIEGER ALGEBRAS ⋮ Algebraic bivariant \(K\)-theory and Leavitt path algebras. ⋮ Leavitt path algebras: the first decade ⋮ \(K\)-theory for Leavitt path algebras: computation and classification. ⋮ Classification of Graph Algebras: A Selective Survey

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