Bivariant twisted cyclic theory and spectral sequences of crossed products
type: Item
instance of: scholarly article
title: Bivariant twisted cyclic theory and spectral sequences of crossed products
zbMATH Open document ID: 0755.18007
DOI: 10.1016/0022-4049(92)90052-H
author: Donggeng Gong
published in: Journal of Pure and Applied Algebra
publication date: 1992-09-27T00:00:00Z
review text: The author follows \textit{J. D. S. Jones} and \textit{C. Kassel} [K-Theory 3, 339-365 (1989; reviewed below)] to consider the bivariant twisted cyclic theory of algebras with automorphisms. Then, the spectral sequence of bivariant Hochschild and cyclic theories of crossed products of algebras is obtained and the six-term exact sequence is deduced in a special case.
Mathematics Subject Classification ID: 18G60
Mathematics Subject Classification ID: 19D55
Mathematics Subject Classification ID: 16E40
Mathematics Subject Classification ID: 16S35
zbMATH DE Number: 61225
zbMATH Keywords: bivariant Hochschild theory
zbMATH Keywords: bivariant twisted cyclic theory of algebras with automorphisms
zbMATH Keywords: spectral sequence
zbMATH Keywords: crossed products
reviewed by: Marek Golasiński
MaRDI profile type: Publication
cites work: Q3708977
cites work: The cyclic homology of the group rings
cites work: Cyclic homology and algebraic K-theory of spaces. II
cites work: Q3240881
cites work: Q3317281
cites work: Q3678337
cites work: Q3468244
cites work: Cyclic cohomology, the Novikov conjecture and hyperbolic groups
cites work: Q3994461
cites work: Q3774051
cites work: Q3794302
cites work: Q3729137
cites work: Excision of equivariant cyclic cohomology of topological algebras
cites work: Bivariant cyclic theory
cites work: Q3792859
cites work: Q3485054
cites work: Caractère de Chern bivariant. (Bivariant Chern character)
cites work: Cyclic homology and the Lie algebra homology of matrices
cites work: Homology
cites work: Group cohomology and the cyclic cohomology of crossed products
cites work: KK-groups of crossed products by groups acting on trees
cites work: Algebra cochains and cyclic cohomology
cites work: Q3341041
cites work: An equivariant Novikov conjecture
cites work: Étale descent for Hochschild and cyclic homology
cites work: Q3778133
cites work: Excision in cyclic homology and in rational algebraic K-theory
description: scientific article; zbMATH DE number 61225