The Vanishing of Connecting Maps in AlgebraicK-Theory

DOI10.1080/00927870601052547zbMath1116.18007OpenAlexW2087939211MaRDI QIDQ3429301

Xiaosheng Zhu

Publication date: 30 March 2007

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

Full work available at URL: https://doi.org/10.1080/00927870601052547

zbMATH Keywords

algebraic \(K\)-theory\(C^{\ast}\)-algebrapullbackconnecting map

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) (K)-theory and operator algebras (including cyclic theory) (46L80) Grothendieck groups (category-theoretic aspects) (18F30) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) (K_0) of other rings (19A49)

Cites Work

• K-theory for certain C*-algebras
• \(C^*\)-algebras of real rank zero
• Derivations of matroid C\(^*\)-algebras. II
• Separative cancellation for projective modules over exchange rings
• Extensions of exchange rings
• \(K_ 1\) of separative exchange rings and \(C^ *\)-algebras with real rank zero.
• \(K_ 0\) of multiplier algebras of \(C^*\)-algebras with real rank zero
• Exponential rank of \(C^{\ast}\)-algebras with real rank zero and the Brown-Pedersen conjectures
• Exchange rings and decompositions of modules
• Multipliers of C -algebras
• Semicontinuity and Multipliers of C*-Algebras
• Lifting units modulo exchange ideals and C* -algebras with real rank zero
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