The realization problem for finitely generated refinement monoids

DOI10.1007/s00029-020-00559-5zbMath1481.16004arXiv1907.03648OpenAlexW3027264033MaRDI QIDQ2190733

Joan Bosa, Pere Ara, Enrique Pardo Espino

Publication date: 22 June 2020

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.03648

zbMATH Keywords

von Neumann regular ringrealization problemrefinement monoiduniversal localization

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) General theory of (C^*)-algebras (46L05) Torsion-free groups, infinite rank (20K20) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) (K_0) as an ordered group, traces (19K14)

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Free actions of groups on separated graph 𝐶*-algebras ⋮ Simplicial and dimension groups with group action and their realization ⋮ A correspondence between surjective local homeomorphisms and a family of separated graphs ⋮ A classification of ideals in Steinberg and Leavitt path algebras over arbitrary rings ⋮ Leavitt path algebras over a poset of fields ⋮ Refinement monoids and adaptable separated graphs

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