Module theory over Leavitt path algebras and \(K\)-theory.

DOI10.1016/j.jpaa.2009.10.001zbMath1189.16013arXiv0905.3827OpenAlexW2032543984MaRDI QIDQ2267426

Miquel Brustenga, Pere Ara

Publication date: 1 March 2010

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.3827

zbMATH Keywords

\(K\)-theoryfree algebrasLeavitt path algebrasvon Neumann regular algebrasfinitely presented modules

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) (K)-theory and operator algebras (including cyclic theory) (46L80) Representations of quivers and partially ordered sets (16G20) Computations of higher (K)-theory of rings (19D50) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Leavitt path algebras (16S88)

Related Items

Leavitt path algebras: graded direct-finiteness and graded \(\Sigma\)-injective simple modules ⋮ Noetherian Leavitt path algebras and their regular algebras. ⋮ Kumjian-Pask algebras of locally convex higher-rank graphs. ⋮ Finitely presented simple modules over Leavitt path algebras. ⋮ On the Toeplitz-Jacobson algebra and direct finiteness ⋮ Anick type automorphisms and new irreducible representations of Leavitt path algebras ⋮ Leavitt path algebras with finitely presented irreducible representations. ⋮ Simple modules for Kumjian-Pask algebras ⋮ On graded irreducible representations of Leavitt path algebras. ⋮ Modules for Leavitt path algebras via extended algebraic branching systems ⋮ Weakly regular and self-injective Leavitt path algebras over arbitrary graphs. ⋮ Category equivalences involving graded modules over path algebras of quivers. ⋮ Primeness of simple modules over path algebras and Leavitt path algebras ⋮ On the representations of Leavitt path algebras. ⋮ On simple modules over Leavitt path algebras. ⋮ A Survey of Some of the Recent Developments in Leavitt Path Algebras ⋮ Atlas of Leavitt path algebras of small graphs ⋮ Finite-dimensional representations of Leavitt path algebras ⋮ Tensor products of Leavitt path algebras ⋮ Irreducible representations of Leavitt algebras ⋮ Representations of Leavitt path algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(K_0\) of purely infinite simple regular rings
• Blanchfield and Seifert algebra in high-dimensional boundary link theory. I: Algebraic \(K\)-theory
• The regular algebra of a quiver.
• Algebras of quotients of path algebras.
• Locally finite Leavitt path algebras.
• A class of C*-algebras and topological Markov chains
• Universal derivations and universal ring constructions
• Simple \(C^*\)-algebras generated by isometries
• Finitely presented modules over Leavitt algebras.
• Nonstable \(K\)-theory for graph algebras.
• Noncommutative localisation in algebraic \(K\)-theory. II.
• Noncommutative localisation in algebraic \(K\)-theory. I
• On the completion of modules in an additive topology
• The Leavitt path algebra of a graph.
• Modules without Invariant Basis Number
• $K$-theory of Leavitt path algebras
• The Module Type of a Ring
• The Cohn localization of the free group ring
• K-Theory of Free Rings
• Universal localizations embedded in power-series rings
• Free Modules over Free Algebras and Free Group Algebras: The Schreier Technique
• On Projective Modules Over Semi-Hereditary Rings
• Algebraic \(K\)-theory

This page was built for publication: Module theory over Leavitt path algebras and \(K\)-theory.