A classification of finite rank dimension groups by their representations in ordered real vector spaces

DOI10.1016/j.jfa.2010.12.026zbMath1230.06009arXiv1010.0234OpenAlexW1990602038WikidataQ58481266 ScholiaQ58481266MaRDI QIDQ537694

Gregory R. Maloney, Aaron Tikuisis

Publication date: 20 May 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.0234

zbMATH Keywords

Riesz interpolationordered vector spacesordered abelian groups

Mathematics Subject Classification ID

Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (2)

Cones of traces arising from AF \(C^\ast\)-algebras ⋮ FINITE-DIMENSIONAL ORDERED VECTOR SPACES WITH RIESZ INTERPOLATION AND EFFROS–SHEN’S UNIMODULARITY CONJECTURE

Cites Work

• Coding of the dimension group
• On dimension functions and topological Markov chains
• A class of C*-algebras and topological Markov chains
• The geometry of finite rank dimension groups
• On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
• The range of the Elliott invariant of the simple \(AH\)-algebras with slow dimension growth
• On the classification of C*-algebras of real rank zero.
• Affine representations of Grothendieck groups and applications to Rickart 𝐶*-algebras and ℵ₀-continuous regular rings
• Dimension Groups and Their Affine Representations
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