An approach to operations on cyclic homology
type: Item
instance of: scholarly article
title: An approach to operations on cyclic homology
zbMATH Open document ID: 0851.18010
DOI: 10.1016/0022-4049(95)00026-7
author: Masoud Khalkhali
published in: Journal of Pure and Applied Algebra
publication date: 1996-11-18T00:00:00Z
review text: By operations on the cyclic homology of an algebra \(A\), the author means a Lie operation of the Hochschild cohomology of \(A\) on the bivariant cyclic cohomology of \(A\). His new and simple approach is based on the Cuntz-Quillen notion of an \(X\)-complex of coalgebras. Concerning these operations, see also [\textit{I. M. Gel'fand}, \textit{Yu. L. Daletskij} and \textit{B. L. Tsygan}, ``On a variant of noncommutative differential geometry'', Sov. Math. Dokl. 40, No. 2, 422-426 (1990; Zbl 0712.17026); translation from Dokl. Akad. Nauk SSSR 308, No. 6, 1293-1297 (1989)] and [\textit{E. Getzler}, ``Cartan homotopy formula and the Gauss-Manin connection in cyclic homology,'' Isr. Math. Conf. Proc. 7, 65-78 (1993; Zbl 0844.18007)].
Mathematics Subject Classification ID: 18G60
Mathematics Subject Classification ID: 19D55
Mathematics Subject Classification ID: 18G50
zbMATH DE Number: 896032
zbMATH Keywords: \(X\)-complex of coalgebras
zbMATH Keywords: cyclic homology
zbMATH Keywords: Hochschild cohomology
zbMATH Keywords: bivariant cyclic cohomology
reviewed by: Frédéric Patras
MaRDI profile type: Publication
full work available at URL: 0022-4049(95)00026-7
OpenAlex ID: W1964679489
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description: scientific article; zbMATH DE number 896032