Metric completions of ordered groups and 𝐾₀ of exchange rings

DOI10.1090/S0002-9947-98-01744-9zbMath0894.06007MaRDI QIDQ4382950

Enrique Pardo Espino

Publication date: 24 March 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

regular ringGrothendieck groupreal rank zeroC*-algebraexchange ringrefinement monoid\(K_0\)affine function representationasymptotic interpolation propertyasymptotic refinement property

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) (K)-theory and operator algebras (including cyclic theory) (46L80) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) (K_0) of other rings (19A49) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) (K_0) as an ordered group, traces (19K14) Decomposition theory for (C^*)-algebras (46L45)

Related Items

Related comparability over exchange rings ⋮ Recasting the Elliott conjecture ⋮ Tensor product of dimension effect algebras ⋮ Refinement monoids with weak comparability and applications to regular rings and $C*$-algebras ⋮ Ideal Structure of Multiplier Algebras of Simple C^*-algebras With Real Rank Zero ⋮ Unnamed Item ⋮ Monoids of Intervals of Simple Refinement Monoids and Non-stable K-Theory of Multiplier Algebras ⋮ Boolean Algebras, Generalized Abelian Rings, and Grothendieck Groups ⋮ Gromov translation algebras over discrete trees are exchange rings ⋮ The Corona Factorization Property and refinement monoids ⋮ K₀of Exchange Rings with All Idempotents Central

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