Graph algebras and the Gelfand–Kirillov dimension

DOI10.1142/S0219498818500950zbMath1410.16027OpenAlexW2618482479MaRDI QIDQ4639647

Mercedes Siles Molina, José Manuel Moreno Fernández

Publication date: 11 May 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498818500950

zbMATH Keywords

Gelfand-Kirillov dimensionpath algebraMorita invarianceLeavitt path algebraCohn path algebrarelative Cohn path algebra

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) 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)

Related Items

Algebraic properties of face algebras ⋮ Leavitt path algebras of hypergraphs ⋮ On ultragraph Leavitt path algebras with finite Gelfand-Kirillov dimension ⋮ On Leavitt path algebras of Hopf graphs ⋮ The Gelfand–Kirillov dimension of a weighted Leavitt path algebra ⋮ Representations of relative Cohn path algebras ⋮ Cohn-Leavitt path algebras of bi-separated graphs

Cites Work

• The theory of prime ideals of Leavitt path algebras over arbitrary graphs.
• Finitely presented simple modules over Leavitt path algebras.
• Cycles in Leavitt path algebras by means of idempotents.
• Finite-dimensional Leavitt path algebras.
• Socle theory for Leavitt path algebras of arbitrary graphs.
• Morita equivalence for idempotent rings
• Leavitt path algebras
• Nonstable \(K\)-theory for graph algebras.
• The \(C^*\)-algebras of arbitrary graphs
• The Leavitt path algebra of a graph.
• Row-finite equivalents exist only for row-countable graphs
• LEAVITT PATH ALGEBRAS OF FINITE GELFAND–KIRILLOV DIMENSION
• Morita Equivalence and Morita Invariant Properties: Applications in the Context of Leavitt Path Algebras
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