Branching systems and representations of Cohn-Leavitt path algebras of separated graphs.

DOI10.1016/j.jalgebra.2014.09.020zbMath1307.16016arXiv1403.1427OpenAlexW2042792154MaRDI QIDQ471893

Daniel Gonçalves, Danilo Royer

Publication date: 17 November 2014

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

Full work available at URL: https://arxiv.org/abs/1403.1427

zbMATH Keywords

representationsbranching systemsCohn-Leavitt path algebrasseparated graphs

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) 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

BRANCHING SYSTEMS FOR HIGHER-RANK GRAPH C*-ALGEBRAS, A correspondence between surjective local homeomorphisms and a family of separated graphs, Irreducibility and monicity for representations of \(k\)-graph \(C^*\)-algebras, Representations and the reduction theorem for ultragraph Leavitt path algebras, Representations of relative Cohn path algebras, Irreducible and permutative representations of ultragraph Leavitt path algebras, Irreducible representations of Leavitt algebras, Unifying interval maps and branching systems with applications to relative graph \(\mathrm{C}^\ast\)-algebras

Cites Work

• Unitary equivalence of representations of graph algebras and branching systems
• Leavitt path algebras of edge-colored graphs.
• Graph \(C^\ast\)-algebras, branching systems and the Perron-Frobenius operator
• C\(^*\)-algebras of separated graphs
• On the representations of Leavitt path algebras.
• Exchange Leavitt path algebras and stable rank
• Cuntz-Krieger algebras of directed graphs
• Nonstable \(K\)-theory for graph algebras.
• Dynamical systems associated to separated graphs, graph algebras, and paradoxical decompositions
• Perron-Frobenius operators and representations of the Cuntz-Krieger algebras for infinite matrices
• The Leavitt path algebra of a graph.
• Leavitt path algebras of separated graphs
• The 𝐶*-algebras of infinite graphs
• Leavitt Path Algebras as Partial Skew Group Rings