Farey stellar subdivisions, ultrasimplicial groups, and \(K_ 0\) of AF \(C^*\)-algebras
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Publication:1123916
DOI10.1016/0001-8708(88)90006-0zbMath0678.06008OpenAlexW2002744250MaRDI QIDQ1123916
Publication date: 1988
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0001-8708(88)90006-0
abelian \(\ell \)-group\(K_ 0\)-theory of AF \(C^*\)-algebrasgeneralized Farey seriesultrasimplicial groups
(K)-theory and operator algebras (including cyclic theory) (46L80) Lattices and convex bodies (number-theoretic aspects) (11H06) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)
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Cites Work
- Ultrasimplicial dimension groups
- Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
- Every Abelian \(\ell\)-group with two positive generators is ultrasimplicial
- On the classification of the ordered groups associated with the approximately finite dimensional C*-algebras
- C*-algebras associated with irrational rotations
- On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
- Present trends in pure mathematics
- Transformation groups and \(C^ *\)-algebras
- An introduction to the geometry of numbers.
- Dimension Groups and Their Affine Representations
- A Counterexample to the Unimodular Conjecture on Finitely Generated Dimension Groups
- Classification of dimension groups and iterating systems.
- Amalgamations of Lattice Ordered Groups
- A theorem about infinite-valued sentential logic
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