A decomposition for the cyclic cohomology of a commutative algebra

DOI10.1016/0022-4049(89)90078-9zbMath0704.46048OpenAlexW2047125533MaRDI QIDQ916980

Samuel D. Schack, Toshikazu Natsume

Publication date: 1989

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(89)90078-9

zbMATH Keywords

cyclic cohomologyConnes' decompositionFréchet algebra of \(C^{\infty }\)-functions on a smooth compact manifoldperiodicity sequence

Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Related Items (7)

Cohomology theories for homotopy algebras and noncommutative geometry ⋮ Unnamed Item ⋮ The cyclic homology of affine algebras ⋮ The Eulerian representations of \(\Sigma_ n\) as restrictions of representations of \(\Sigma_{n+1}\) ⋮ On the Hodge decomposition of differential graded bi-algebras. ⋮ Hodge decompositions of Loday symbols in \(K\)-theory and cyclic homology ⋮ The shuffle bialgebra and the cohomology of commutative algebras

Cites Work

• Unnamed Item
• Cyclic homology and the Lie algebra homology of matrices
• A Hodge-type decomposition for commutative algebra cohomology
• Differential Forms On Regular Affine Algebras
• On the Deformation of Algebra Morphisms and Diagrams

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