Row-finite equivalents exist only for row-countable graphs

DOI10.1090/conm/562/11126zbMath1255.16015arXiv0904.0183OpenAlexW1663145647MaRDI QIDQ2895451

Kulumani M. Rangaswamy, Gene D. Abrams

Publication date: 2 July 2012

Published in: New Trends in Noncommutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.0183

zbMATH Keywords

Morita equivalencesdesingularizationsLeavitt path algebrasrow-finite graphs

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms and endomorphisms (16W20) 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)

Related Items (6)

Graph algebras and the Gelfand–Kirillov dimension ⋮ Generalized Regularity Conditions for Leavitt Path Algebras over Arbitrary Graphs ⋮ Morita Equivalence and Morita Invariant Properties: Applications in the Context of Leavitt Path Algebras ⋮ Realizing corners of Leavitt path algebras as Steinberg algebras, with corresponding connections to graph \(C^{\ast}\)-algebras ⋮ Leavitt path algebras: the first decade ⋮ Leavitt \(R\)-algebras over countable graphs embed into \(L_{2,R}\).

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