The cyclic homology of affine algebras

DOI10.1007/BF01884288zbMath0827.46059MaRDI QIDQ1895695

Ioannis Emmanouil

Publication date: 13 August 1995

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144289

zbMATH Keywords

spectral sequenceinverse systemConnes' exact couplecyclic homology of affine algebras over a field of characteristic 0Loday-Quillen map

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20)

Related Items (5)

Cyclic homology of affine hypersurfaces with isolated singularities ⋮ A Darboux theorem for derived schemes with shifted symplectic structure ⋮ Unnamed Item ⋮ The periodic cyclic homology of crossed products of finite type algebras ⋮ Phantom maps in the stable module category

Cites Work

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• Décompositions de l'homologie cyclique des algèbres différentielles graduées commutatives. (Decompositions of cyclic homology of commutative differential graded algebras)
• Cyclic homology of algebraic hypersurfaces
• A decomposition for the cyclic cohomology of a commutative algebra
• Cyclic homology and the Lie algebra homology of matrices
• Cyclic homology, derivations, and the free loopspace
• Additive \(K\)-theory and crystalline cohomology
• Non-commutative differential geometry
• The Künneth formula in cyclic homology
• Quand l'homologie cyclique périodique n'est pas la limite projective de l'homologie cyclique. (When periodic cyclic homology is not the projective limit of cyclic homology)
• A Hodge-type decomposition for commutative algebra cohomology
• Opérations sur l'homologie cyclique des algèbres commutatives. (Operations on the cyclic homology of commutative algebras)
• A note on the Hochschild homology and cyclic homology of a topological algebra
• Cyclic homology, comodules, and mixed complexes
• Spaces of the same n-type, for all n
• De Rham cohomology of an analytic space
• Exact couples in an Abelian category
• Local cyclic homology
• On the hochschild homology decompositions
• On the De Rham cohomology of algebraic varieties

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