Ultrasimplicial dimension groups

DOI10.1007/BF01192758zbMath0513.46049OpenAlexW2021890453MaRDI QIDQ1050593

David E. Handelman

Publication date: 1983

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01192758

zbMATH Keywords

extensionsdivisible groupsdivisible hull of a dimension grouporder direct limitsimple dimension groups of finite rankultrasimplicial dimension groups

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Direct sums, direct products, etc. for abelian groups (20K25) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (7)

Every Abelian \(\ell\)-group with two positive generators is ultrasimplicial ⋮ The classification problem for simple unital finite rank dimension groups ⋮ Farey stellar subdivisions, ultrasimplicial groups, and \(K_ 0\) of AF \(C^*\)-algebras ⋮ Almost inductive limit automorphisms and embeddings into AF-algebras ⋮ Every Abelian \(\ell\)-group is ultrasimplicial ⋮ Realizing dimension groups, good measures, and Toeplitz factors ⋮ Classes of ultrasimplicial lattice-ordered abelian groups

Cites Work

• Extensions for AF C ∗ Algebras and Dimension Groups
• Dimension Groups and Their Affine Representations
• A Counterexample to the Unimodular Conjecture on Finitely Generated Dimension Groups
• Classification of dimension groups and iterating systems.
• Unnamed Item

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