On Cartan homotopy formulas in cyclic homology
type: Item
instance of: scholarly article
title: On Cartan homotopy formulas in cyclic homology
zbMATH Open document ID: 0910.46051
DOI: 10.1007/BF02677842
author: Masoud Khalkhali
published in: Manuscripta Mathematica
publication date: 1999-04-12T00:00:00Z
full work available at URL: https://eudml.org/doc/156327
review text: \textit{J. Cuntz} and \textit{D. Quillen} [J. Am. Math. Soc. 8, No. 2, 373-442 (1995; Zbl 0838.19002)] showed that the action of the derivations of a quasi-free algebra on its \(X\)-complex is null-homotopic. In this paper the author studies the analogous action for a quasi-free DGA (and also the action of the coderivations of a quasi-free differential graded coalgebra). He obtains Cartan homotopy formulas describing the action of the Hochschild cochain complex on the cyclic homology bicomplex.
reviewed by: Ayelet Lindenstrauss
Mathematics Subject Classification ID: 46L80
Mathematics Subject Classification ID: 55U05
Mathematics Subject Classification ID: 46L57
Mathematics Subject Classification ID: 46M20
zbMATH DE Number: 1138677
zbMATH Keywords: cyclic homology
zbMATH Keywords: Hochschild homology
zbMATH Keywords: Cartan formula
zbMATH Keywords: quasi-free algebra
zbMATH Keywords: quasi-free differential graded coalgebra
zbMATH Keywords: Cartan homotopy formulas
zbMATH Keywords: Hochschild cochain complex
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1138677