From Leibniz homology to cyclic homology
type: Item
instance of: scholarly article
title: From Leibniz homology to cyclic homology
zbMATH Open document ID: 1034.19002
DOI: 10.1023/A:1022609319685
author: Jerry M. Lodder
published in: \(K\)-Theory
publication date: 2003-06-09T00:00:00Z
review text: Given an algebra \(A\), the author constructs a natural homomorphism \(HL_{\ast+1}(A)\to HH_\ast(A)\) from Leibniz to Hochschild homology. If \(f: A\to B\) is a homorphism of algebras, the relative Leibniz homology \(HL_\ast(gl(f))\) is defined and a natural homomorphism \(HL_{\ast+1}(gl(f))\to HC_\ast(F)\) to relative cyclic homology is studied. Thus, a relation between Leibnitz homology and K-theory via the result of \textit{T. G. Goodwillie} [Ann. Math., II. Ser. 124, 347--402 (1986; Zbl 0627.18004)] has been offered.
reviewed by: Marek Golasiński
Mathematics Subject Classification ID: 19D55
Mathematics Subject Classification ID: 17A32
Mathematics Subject Classification ID: 18G60
zbMATH DE Number: 1925077
zbMATH Keywords: cyclic homology
zbMATH Keywords: Hochschild homology
zbMATH Keywords: Leibnitz homology
Wikidata QID: Q123025561
MaRDI profile type: Publication
full work available at URL: a:1022609319685
OpenAlex ID: W2084609445
description: scientific article; zbMATH DE number 1925077