An adjacency matrix perspective of talented monoids and Leavitt path algebras

DOI10.1016/j.laa.2023.08.025arXiv2212.08227MaRDI QIDQ6083995

Alfilgen N. Sebandal, Wolfgang Bock

Publication date: 31 October 2023

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.08227

zbMATH Keywords

adjacency matrixLeavitt path algebratalented monoid

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Leavitt path algebras (16S88) Algebraic monoids (20M32)

Cites Work

• Unnamed Item
• Unnamed Item
• The graded structure of Leavitt path algebras.
• Finite-dimensional Leavitt path algebras.
• Topological Markov chains, \(C^*\)-algebras, and \(K^ 2\)
• Topological dynamics on finite directed graphs
• Graded Steinberg algebras and their representations
• The graded Grothendieck group and the classification of Leavitt path algebras.
• Simple Lie algebras arising from Leavitt path algebras.
• Leavitt path algebras
• Graphs with disjoint cycles classification via the talented monoid
• Simple Lie algebras arising from Steinberg algebras of Hausdorff ample groupoids
• Comparability in the graph monoid
• The talented monoid of a Leavitt path algebra
• Nonstable \(K\)-theory for graph algebras.
• The module type of homomorphic images
• The Leavitt path algebra of a graph.
• On the Simplicity of the Lie Algebra of a Leavitt Path Algebra
• LEAVITT PATH ALGEBRAS OF FINITE GELFAND–KIRILLOV DIMENSION
• The Module Type of a Ring
• Applied Probability and Queues
• Leavitt path algebras: the first decade
• A talented monoid view on Lie bracket algebras over Leavitt path algebras

This page was built for publication: An adjacency matrix perspective of talented monoids and Leavitt path algebras