Homotopical presentations and calculations of algebraic \(K_0\)-groups for rings of continuous functions

DOI10.2977/PRIMS/61zbMath1241.55010OpenAlexW2053488309MaRDI QIDQ409060

Hiroshi Kihara, Nobuyuki Oda

Publication date: 12 April 2012

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/61

zbMATH Keywords

\(K\)-groupSerre-Swan theoremSullivan conjecture

Mathematics Subject Classification ID

Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) Grothendieck groups, (K)-theory, etc. (16E20) (K_0) of other rings (19A49)

Related Items

Rational Cup Product and Algebraic K₀-Groups of Rings of Continuous Functions ⋮ Commutativity and cocommutativity of cogroups in the category of connected graded algebras.

Cites Work

• Cohomology of sheaves
• Locally finite approximation of Lie groups. I
• Cancellation of low-rank vector bundles
• Partitions of unity in the theory of fibrations
• A note on Miller’s theorem about maps out of classifying spaces
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