Recognizing the Farey-Stern-Brocot AF algebra

DOI10.4171/RLM/549zbMath1185.46042MaRDI QIDQ1039874

Daniele Mundici

Publication date: 23 November 2009

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_abstract.php?issn=1120-6330&vol=20&iss=4&rank=2

zbMATH Keywords

lattice-ordered groupGrothendieck groupFarey sequenceAF algebraElliott classificationapproximately finite-dimensional algebra

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) (K)-theory and operator algebras (including cyclic theory) (46L80) Rational and birational maps (14E05) Inductive and projective limits in functional analysis (46M40) Classifications of (C^*)-algebras (46L35) Farey sequences; the sequences (1^k, 2^k, dots) (11B57) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Combinatorial complexity of geometric structures (52C45)

Related Items

Hopfian \(\ell\)-groups, MV-algebras and AF \({\mathrm{C}^{*}}\)-algebras ⋮ Word problems in Elliott monoids ⋮ Confluence and combinatorics in finitely generated unital lattice-ordered abelian groups ⋮ Bratteli diagrams via the De Concini–Procesi theorem ⋮ On cluster \(C^\ast\)-algebras ⋮ AF-algebras with lattice-ordered \(K_0\): logic and computation

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