The transfer map in topological Hochschild homology
type: Item
instance of: scholarly article
title: The transfer map in topological Hochschild homology
zbMATH Open document ID: 0929.19001
DOI: 10.1016/S0022-4049(97)00117-5
author: Christian Schlichtkrull
published in: Journal of Pure and Applied Algebra
publication date: 2000-01-11T00:00:00Z
review text: Let \(G\) be a discrete group and \(K\) a subgroup of finite index. The author considers the associated restriction (or transfer) map in topological Hochschild homology. In particular, he computes this map in terms of ordinary group homology transfers. This gives information on the corresponding restriction map in \(K\)-theory via the topological Dennis trace map from \(K\)-theory to topological Hochschild homology. The main technical ingredient is the construction of a new model of topological Hochschild homology, by fusing the Bökstedt model with the \(\Gamma^+\)-construction of \textit{M. G. Barratt} and \textit{P. J. Eccles} [``\(\Gamma^+\)-structures. I: A free group functor for stable homotopy theory'', Topology 13, 25-45 (1974; Zbl 0292.55010)].
Mathematics Subject Classification ID: 19D55
Mathematics Subject Classification ID: 55R12
Mathematics Subject Classification ID: 19D10
zbMATH DE Number: 1308283
zbMATH Keywords: topological Hochschild homology
zbMATH Keywords: transfer
zbMATH Keywords: restriction
zbMATH Keywords: group rings
reviewed by: Frédéric Patras
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1308283