On the cyclic homology of exact categories
type: Item
instance of: scholarly article
title: On the cyclic homology of exact categories
zbMATH Open document ID: 0923.19004
DOI: 10.1016/S0022-4049(97)00152-7
published in: Journal of Pure and Applied Algebra
publication date: 1999-10-14T00:00:00Z
review text: \textit{R. McCarthy} [J. Pure Appl. Algebra 93, No. 3, 251-296 (1994; Zbl 0807.19002)] defined the cyclic homology of an exact category. However, as it was shown by the author, that theory cannot be both compatible with localization and invariance under functors inducing equivalences. That is the article's motivation for defining a new theory for which these properties hold. Then that new theory is computed for a number of categories.
Mathematics Subject Classification ID: 19D55
Mathematics Subject Classification ID: 18E10
Mathematics Subject Classification ID: 16E40
Mathematics Subject Classification ID: 18E30
Mathematics Subject Classification ID: 18F25
zbMATH DE Number: 1308315
zbMATH Keywords: exact category
zbMATH Keywords: coherent sheaves
zbMATH Keywords: cyclic homology
zbMATH Keywords: derived category
zbMATH Keywords: localization pair
zbMATH Keywords: projective space
zbMATH Keywords: triangulated category
author: Bernhard Keller
reviewed by: Marek Golasiński
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1308315