\(\lambda\)-structures in algebraic \(K\)-theory and cyclic homology

DOI10.1007/BF00538886zbMath0735.19005MaRDI QIDQ1176118

Jean-Louis Cathelineau

Publication date: 25 June 1992

Published in: \(K\)-Theory (Search for Journal in Brave)

zbMATH Keywords

cyclic homologyHochschild homologyalgebraic K-theorycommutative algebranilpotent ideal\(\lambda\)- operations

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) (K)-theory and homology; cyclic homology and cohomology (19D55)

Related Items (15)

Infinitesimal and tangent to polylogarithmic complexes for higher weight ⋮ A Singular Analogue of Gersten's Conjecture and Applications to K-theoretic Adèles ⋮ Infinitesimal cohomology and the Chern character to negative cyclic homology ⋮ The tangent complex to the Bloch-Suslin complex ⋮ Remarques sur les différentielles des polylogarithmes uniformes. (Remarks on the differentials of the uniform polylogarithms.) ⋮ Explicit formulas for the Chern character in algebraic \(K\)-theory. ⋮ Additive polylogarithms and their functional equations ⋮ The tangent complex of \(K\)-theory ⋮ Tangents to Chow groups: on a question of Green-Griffiths ⋮ Hodge decompositions of Loday symbols in \(K\)-theory and cyclic homology ⋮ Zero cycles on a threefold with isolated singularities ⋮ Relative Chern Characters for Nilpotent Ideals ⋮ Homology of tangent groups considered as discrete groups and scissors congruence ⋮ A Survey of the Additive Dilogarithm ⋮ Volumes of hyperbolic manifolds and mixed Tate motives

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Relative algebraic K-theory and cyclic homology
• Homology of Euclidean groups of motions made discrete and Euclidean scissors congruences
• Cyclic homology and the Lie algebra homology of matrices
• On the general linear group and Hochschild homology
• Higher regulators and values of \(L\)-functions
• Cyclic homology and the Macdonald conjectures
• A Hodge-type decomposition for commutative algebra cohomology
• \(\lambda\)-structure en K-théorie algébrique
• lambda-rings and algebraic K-theory
• Opérations sur l'homologie cyclique des algèbres commutatives. (Operations on the cyclic homology of commutative algebras)
• Delooping classifying spaces in algebraic K-theory
• Homology of classical Lie groups made discrete. III
• On the structure of Hopf algebras
• Rational homotopy theory
• Nil K-Theory Maps to Cyclic Homology
• Differential Forms On Regular Affine Algebras
• Opérations En K-Théorie Algébrique
• On the equivalence of k-theories
• Sur l'homologie de $\mathrm{SL}_2$ a coefficients dans l'action adjointe.

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