Connections between abelian sandpile models and the \(K\)-theory of weighted Leavitt path algebras

DOI10.1007/s40879-023-00613-4OpenAlexW4360985123MaRDI QIDQ2699561

Roozbeh Hazrat, Gene D. Abrams

Publication date: 19 April 2023

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.09218

zbMATH Keywords

Grothendieck groupabelian sandpile modelsandpile monoidweighted Leavitt path algebra

Mathematics Subject Classification ID

Games on graphs (graph-theoretic aspects) (05C57) Leavitt path algebras (16S88)

Related Items

LEAVITT PATH ALGEBRAS OF WEIGHTED AND SEPARATED GRAPHS

Cites Work

• The graded structure of Leavitt path algebras.
• Tame and wild refinement monoids
• The classification question for Leavitt path algebras.
• The diamond lemma for ring theory
• Algebraic and combinatorial aspects of sandpile monoids on directed graphs
• Leavitt path algebras
• Refinement monoids, equidecomposability types, and Boolean inverse semigroups
• The \(V\)-monoid of a weighted Leavitt path algebra
• Nonstable \(K\)-theory for graph algebras.
• The Leavitt path algebra of a graph.
• On theories with a combinatorial definition of 'equivalence'
• The Module Type of a Ring
• Self-organized critical state of sandpile automaton models
• Coproducts and Some Universal Ring Constructions
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