Filtrations, mixed complexes, and cyclic homology in mixed characteristic
type: Item
instance of: scholarly article
title: Filtrations, mixed complexes, and cyclic homology in mixed characteristic
zbMATH Open document ID: 0839.19002
DOI: 10.1007/BF00961458
author: Michael Larsen
published in: \(K\)-Theory
publication date: 1996-01-03T00:00:00Z
review text: The author determines mixed complexes \((Y, b_Y, B_Y)\) which compute the cyclic homology of plane curves and maximal orders in simple algebras. In each case, \((Y, b_Y)\) is a direct summand of the reduced Hochschild complex and a strongly homotopy linear map may be constructed from \((Y, b_Y, B_Y)\) to the usual mixed complex computing cyclic homology. Those results extend previous ones by the author [Homology of maximal orders in central simple algebras, Comment. Math. Helv. 67, No. 4, 613-634 (1992; Zbl 0777.16005)] and by the author and \textit{A. Lindenstrauss} [Cyclic homology of Dedekind domains, \(K\)-Theory 6, No. 4, 301-334 (1992; Zbl 0781.13008)].
Mathematics Subject Classification ID: 19D55
Mathematics Subject Classification ID: 13D03
Mathematics Subject Classification ID: 18G60
Mathematics Subject Classification ID: 16E40
zbMATH DE Number: 784418
zbMATH Keywords: mixed complexes
zbMATH Keywords: cyclic homology
zbMATH Keywords: plane curves
zbMATH Keywords: maximal orders
zbMATH Keywords: simple algebras
reviewed by: Frédéric Patras
MaRDI profile type: Publication
cites work: Hochschild homology of complete intersections
cites work: Cyclic homology, comodules, and mixed complexes
cites work: Homologie cyclique, caractère de Chern et lemme de perturbation.
cites work: Cyclic homology of Dedekind domains
cites work: Homology of maximal orders in central simple algebras
cites work: Q3882554
cites work: The Hochschild Homology of Complete Intersections
full work available at URL: https://doi.org/10.1007/bf00961458
OpenAlex ID: W1965484643
description: scientific article; zbMATH DE number 784418