The Künneth formula in cyclic homology
type: Item
instance of: scholarly article
title: The Künneth formula in cyclic homology
zbMATH Open document ID: 0603.18007
DOI: 10.1007/BF01160473
author: Dan Burghelea
author: Crichton Ogle
published in: Mathematische Zeitschrift
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/173803
review text: The cyclic homology of a cyclic module G (i.e. a simplicial module with additional structure) can be computed from an ''algebraic \(S^ 1\)-chain complex'' \(\tilde C(G)\) (i.e. a chain complex with additional structure). The authors show that if G and G' are cyclic modules then \(\tilde C(G\otimes G')\) and \(\tilde C(G)\otimes \tilde C(G')\) have the same cyclic homology. They derive a Künneth formula for the cyclic homology of algebras; as an application, they compute the cyclic homology of polynomial and Laurent algebras.
Mathematics Subject Classification ID: 18G15
Mathematics Subject Classification ID: 16Exx
Mathematics Subject Classification ID: 55U25
zbMATH DE Number: 3973123
zbMATH Keywords: Hochschild homology
zbMATH Keywords: cyclic homology
zbMATH Keywords: Künneth formula
reviewed by: Richard John Steiner
MaRDI profile type: Publication
cites work: The cyclic homology of the group rings
cites work: Cyclic homology, comodules, and mixed complexes
cites work: Cyclic homology and the Lie algebra homology of matrices
cites work: Q5550390
description: scientific article; zbMATH DE number 3973123