Stable \(K\)-theory as a derived functor

DOI10.1016/0022-4049(94)90101-5zbMath0812.19002OpenAlexW2000341831MaRDI QIDQ1339903

Stanislaw Betley, Teimouraz Pirashvili

Publication date: 7 May 1995

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(94)90101-5

zbMATH Keywords

topological Hochschild homologygeneral linear groupgroup homologyderived functorhomological algebrastable \(K\)-theory

Mathematics Subject Classification ID

Spectral sequences, hypercohomology (18G40) Resolutions; derived functors (category-theoretic aspects) (18G10) (K)-theory and homology; cyclic homology and cohomology (19D55) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

Related Items

Formal groups and stable homotopy of commutative rings ⋮ Twisted homology of symmetric groups ⋮ On the Structure of Graded Commutative Exponential functors ⋮ The rational stable homology of mapping class groups of universal nil-manifolds ⋮ A functorial control of integral torsion in homology

Cites Work

• Relative algebraic K-theory and cyclic homology
• Homology stability for linear groups
• On the general linear group and Hochschild homology
• Cohomology of small categories
• Homology of \(Gl(R)\) with coefficients in a functor of finite degree
• On stable \(K\)-theory and topological Hochschild homology
• A characteristic free approach to invariant theory
• Twisted (co)homological stability for monoids of endomorphisms
• The cyclic homology of an exact category
• Stable \(K\)-theory and topological Hochschild homology
• Cohomology of algebraic theories
• On the groups \(H(\Pi,n)\). II
• La K-théorie stable
• MacLane homology and topological Hochschild homology
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item