La K-théorie stable

DOI10.24033/bsmf.1969zbMath0507.18003OpenAlexW2584241624MaRDI QIDQ4744448

Christian Kassel

Publication date: 1982

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1982__110__381_0

zbMATH Keywords

spectral sequenceHochschild homologyalgebraic K-groupsstable K-groupssimplicial ring

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Topological (K)-theory (55N15) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

Related Items (6)

Generic representations of the finite general linear groups and the Steenrod algebra. II ⋮ Stable \(K\)-theory as a derived functor ⋮ The rational stable homology of mapping class groups of universal nil-manifolds ⋮ MacLane homology and topological Hochschild homology ⋮ Topological Hochschild homology of number rings ⋮ Stabilisation de la $K$-théorie algébrique des espaces topologiques

Cites Work

• Homology stability for linear groups
• A combinatorial definition of homotopy groups
• Twisted homological stability for general linear groups
• Calcul algébrique de l'homologie de certains groupes de matrices
• Centerless groups -- an algebraic formulation of Gottlieb's theorem
• A note on quotients of real algebraic groups by arithmetic subgroups
• Groupes d'homotopie et classes de groupes abéliens
• Stabilisation de la $K$-théorie algébrique des espaces topologiques
• On K ∗ (Z/p 2 Z) and Related Homology Groups
• $K$-théorie algébrique et représentations de groupes
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