Nil K-Theory Maps to Cyclic Homology

DOI10.2307/2000683zbMath0627.18005OpenAlexW4242536819MaRDI QIDQ3030991

Charles A. Weibel

Publication date: 1987

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2000683

zbMATH Keywords

cyclic homologyalgebraic K-theoryKaroubi-Villamayor K- theorynil K-theory

Mathematics Subject Classification ID

Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Homological algebra in category theory, derived categories and functors (18G99)

Related Items (18)

Infinitesimal cohomology and the Chern character to negative cyclic homology ⋮ Dold-Kan correspondence and differential forms ⋮ K(A,B,I). II ⋮ Isomorphism conjectures with proper coefficients ⋮ Cyclic homology of monogenic extensions ⋮ \(\lambda\)-structures in algebraic \(K\)-theory and cyclic homology ⋮ Algebraic v. Topological K-Theory: A Friendly Match ⋮ Cyclic homology of algebras with one generator ⋮ \(L\)-theory and dihedral homology. II ⋮ Comparison between algebraic and topological \(K\)-theory of locally convex algebras ⋮ Explicit formulas for the Chern character in algebraic \(K\)-theory. ⋮ Bass' \(NK\) groups and \(cdh\)-fibrant Hochschild homology ⋮ A calculation of the multiplicative character ⋮ Unnamed Item ⋮ Hodge decompositions of Loday symbols in \(K\)-theory and cyclic homology ⋮ On homotopization of the unitary $K_1$-functor ⋮ The cyclic homology and 𝐾-theory of curves ⋮ Hochschild and Cyclic Homology are Far From Being Homotopy Functors

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