A Survey of Some of the Recent Developments in Leavitt Path Algebras

DOI10.1007/978-981-15-1611-5_1zbMath1455.16023arXiv1808.04466OpenAlexW2886568629MaRDI QIDQ3296356

Kulumani M. Rangaswamy

Publication date: 7 July 2020

Published in: Leavitt Path Algebras and Classical K-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.04466

zbMATH Keywords

simple modulesLeavitt path algebragraph algebrasfinitely presented modules

Mathematics Subject Classification ID

Leavitt path algebras (16S88)

Related Items (1)

Primeness of simple modules over path algebras and Leavitt path algebras

Cites Work

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• The graded structure of Leavitt path algebras.
• Leavitt path algebras are graded von Neumann regular rings.
• Finitely presented simple modules over Leavitt path algebras.
• Weakly regular and self-injective Leavitt path algebras over arbitrary graphs.
• On simple modules over Leavitt path algebras.
• Leavitt path algebras with coefficients in a commutative ring.
• Graphs, groupoids, and Cuntz-Krieger algebras
• Exchange Leavitt path algebras and stable rank
• Finite-dimensional Leavitt path algebras.
• Leavitt path algebras with finitely presented irreducible representations.
• On graded irreducible representations of Leavitt path algebras.
• Regularity conditions for arbitrary Leavitt path algebras.
• Cuntz-Krieger algebras of directed graphs
• A class of C*-algebras and topological Markov chains
• Leavitt path algebras are Bézout
• Leavitt path algebras: graded direct-finiteness and graded \(\Sigma\)-injective simple modules
• The socle series of a Leavitt path algebra.
• Leavitt path algebras
• Module theory over Leavitt path algebras and \(K\)-theory.
• Extensions of simple modules over Leavitt path algebras.
• Canonical traces and directly finite Leavitt path algebras.
• Baer and Baer \(\ast\)-ring characterizations of Leavitt path algebras
• Uniqueness theorems and ideal structure for Leavitt path algebras
• On the \(K\)-theory of Cuntz-Krieger algebras
• Leavitt path algebras with at most countably many irreducible representations.
• Leavitt path algebras satisfying a polynomial identity
• Graded Rings and Graded Grothendieck Groups
• Leavitt path algebras of separated graphs
• LEAVITT PATH ALGEBRAS OF FINITE GELFAND–KIRILLOV DIMENSION
• On the Injectivity and Flatness of Certain Cyclic Modules
• Leavitt path algebras which are Zorn rings
• Leavitt path algebras with bounded index of nilpotence
• Leavitt path algebras: the first decade
• Chain conditions for Leavitt path algebras
• Simple flat Leavitt path algebras are von Neumann regular
• On Generators of Two-Sided Ideals of Leavitt Path Algebras over Arbitrary Graphs
• Homological properties of the ring of differential polynomials
• Coproducts and Some Universal Ring Constructions

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