On the cohomology of algebraic K-spectra over finite fields

DOI10.2977/prims/1195182449zbMath0532.55022OpenAlexW1997165098MaRDI QIDQ789061

Koichi Hirata

Publication date: 1983

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/1195182449

zbMATH Keywords

spectral sequenceAdams operationshomotopy fiberPostnikov system(-1)-connected complex K-theoryAdams splittingcohomology of algebraic K-spectra over finite fields

Mathematics Subject Classification ID

Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Steenrod algebra (55S10) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Postnikov systems, (k)-invariants (55S45) Eilenberg-Moore spectral sequences (55T20) (K)-theory operations and generalized cohomology operations in algebraic topology (55S25)

Related Items (3)

On the algebraic K-cohomology of lens spaces ⋮ The topological Hochschild homology of algebraic \(K\)-theory of finite fields ⋮ Homology and some homotopy decompositions for the James filtration on spheres

Cites Work

• Homology of classical groups over finite fields and their associated infinite loop spaces
• On the cohomology and K-theory of the general linear groups over a finite field
• Uniqueness of BSO
• Infinite Loop Spaces (AM-90)

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