Monoids of Intervals of Simple Refinement Monoids and Non-stable K-Theory of Multiplier Algebras

DOI10.1081/AGB-120023145zbMath1021.06010MaRDI QIDQ4428229

Francisco Ortus, Enrique Pardo Espino

Publication date: 14 September 2003

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

\(K\)-theory of multiplier ringsaffine semicontinuous functionsmonoid of intervalssimple refinement monoidstrictly perforated monoids

Mathematics Subject Classification ID

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) Torsion-free groups, infinite rank (20K20) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) (K_0) as an ordered group, traces (19K14)

Related Items (1)

Simple Riesz groups of rank one having wild intervals

Cites Work

• Bass's first stable range condition
• Diagonalizing projections in multiplier algebras and in matrices over a C* -algebra
• \(C^*\)-algebras of real rank zero
• Injective positively ordered monoids. I
• Separative cancellation for projective modules over exchange rings
• Simple \(C^*\)-algebras with perforation
• On the ordered \(\text{K}_0\) of universal, free product \(C^*\)-algebras
• Embedding simple commutative monoids into simple refinement monoids
• Norm-closed intervals of norm-complete ordered abelian groups
• \(K_ 0\) of multiplier algebras of \(C^*\)-algebras with real rank zero
• Exchange rings and decompositions of modules
• Stable rank of rings and dimensionality of topological spaces
• Rational \(C^*\)-algebras and nonstable K-theory
• Ideal Structure of Multiplier Algebras of Simple C^*-algebras With Real Rank Zero
• Extensions of dimension groups and AF C*-algebras.
• Restricted injectivity, transfer property and decompositions of separative positively ordered monoids.
• The Universal Theory of Ordered Equidecomposability Types Semigroups
• On the representation of simple riesz groups
• Metric completions of ordered groups and 𝐾₀ of exchange rings
• Multipliers of von neumann regular rings
• Perforated Ordered K₀-Groups
• Finite projections in multiplier algebras

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