Cartan homotopy formulae and the bivariant Hochschild complex.

DOI10.1016/j.crma.2009.07.016zbMath1178.16008OpenAlexW2091482048MaRDI QIDQ841273

Abhishek Banerjee

Publication date: 15 September 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.07.016

zbMATH Keywords

bivariant Hochschild complexesCartan homotopy formula

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Chain complexes (category-theoretic aspects), dg categories (18G35) Other homology theories in algebraic topology (55N35)

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Cites Work

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• Cyclic homology, derivations, and the free loopspace
• Bivariant cyclic theory
• The homology of matrix Lie algebras over rings and the Hochschild homology
• Differential Forms on General Commutative Algebras