On Cartan homotopy formulas in cyclic homology

DOI10.1007/BF02677842zbMath0910.46051MaRDI QIDQ1383238

Masoud Khalkhali

Publication date: 12 April 1999

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156327

zbMATH Keywords

cyclic homologyHochschild homologyquasi-free algebraHochschild cochain complexCartan formulaCartan homotopy formulasquasi-free differential graded coalgebra

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) Abstract complexes in algebraic topology (55U05) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items (2)

Equivariant Cartan homotopy formulae for the crossed product of \(DG\) algebra ⋮ Cup products in Hopf-cyclic cohomology.

Cites Work

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• Algebra cochains and cyclic cohomology
• The intrinsic bracket on the deformation complex of an associative algebra
• Non-commutative differential geometry
• A bivariant Chern character for \(p\)-summable quasihomomorphisms
• An approach to operations on cyclic homology
• The cohomology structure of an associative ring
• On the entire cyclic cohomology of banach algebras
• Algebra Extensions and Nonsingularity
• Cyclic Homology and Nonsingularity

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