Every Abelian \(\ell\)-group is ultrasimplicial

DOI10.1006/jabr.1999.8163zbMath0955.06013OpenAlexW1981882527MaRDI QIDQ1972428

Vincenzo Marra

Publication date: 7 June 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8163

zbMATH Keywords

dimension groupAbelian \(\ell\)-groupultrasimplicial group

Mathematics Subject Classification ID

Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items

Further Results on K₀-Groups with Ordered Structure, MV-algebras freely generated by finite Kleene algebras., Some classes of abstract simplicial complexes motivated by module theory, Weinberg's theorem, Elliott's ultrasimplicial property, and a characterisation of free lattice-ordered Abelian groups, Finitely presented lattice-ordered abelian groups with order-unit, Kolmogorov-Sinaj entropy on MV-algebras, Boolean Algebras, Generalized Abelian Rings, and Grothendieck Groups, Simple Bratteli diagrams with a Gödel-incomplete C*-equivalence problem, Lattice-ordered Abelian groups and Schauder bases of unimodular fans, II

Cites Work

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• Ultrasimplicial dimension groups
• Farey stellar subdivisions, ultrasimplicial groups, and \(K_ 0\) of AF \(C^*\)-algebras
• On the classification of the ordered groups associated with the approximately finite dimensional C*-algebras
• Groupes et anneaux reticules
• Classes of ultrasimplicial lattice-ordered abelian groups