On the general linear group and Hochschild homology

DOI10.2307/1971179zbMath0566.20021OpenAlexW2330021601MaRDI QIDQ1059150

Thomas G. Goodwillie

Publication date: 1985

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1971179

zbMATH Keywords

Hochschild homologygeneral linear groupalgebraic K-theorygraded tensor productstable K-theory

Mathematics Subject Classification ID

Cohomology of Lie (super)algebras (17B56) Cohomology theory for linear algebraic groups (20G10) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (11)

Stable \(K\)-theory as a derived functor ⋮ Comparaison des homologies du groupe linéaire et de son algèbre de Lie. (Comparison of homologies of a linear group and its Lie algebra) ⋮ Cyclic homology of enveloping algebras ⋮ Infinitesimal cohomology and the Chern character to negative cyclic homology ⋮ \(\lambda\)-structures in algebraic \(K\)-theory and cyclic homology ⋮ Derived algebraic geometry ⋮ Homology of \(Gl(R)\) with coefficients in a functor of finite degree ⋮ Relative Hermitian algebraic \(K\)-theory and dihedral homology ⋮ MacLane homology and topological Hochschild homology ⋮ The cyclotomic trace and algebraic K-theory of spaces ⋮ Hodge decompositions of Loday symbols in \(K\)-theory and cyclic homology

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