The transfer map in topological Hochschild homology

We consider the topological Hochschild homology (THH) of a group ring R[ G], and calculate the restriction map (or transfer) associated with a subgroup K ⊆ G of finite index in terms of ordinary group homology transfers. This gives information on the corresponding restriction map in Quillen's K...

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Bibliographic Details
Published in:Journal of pure and applied algebra 1998-12, Vol.133 (3), p.289-316
Main Author: Schlichtkrull, Christian
Format: Article
Language:English
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Summary:We consider the topological Hochschild homology (THH) of a group ring R[ G], and calculate the restriction map (or transfer) associated with a subgroup K ⊆ G of finite index in terms of ordinary group homology transfers. This gives information on the corresponding restriction map in Quillen's K-theory via the topological Dennis trace tr: K( R[ G]) → THH( R[ G]). More generally, we consider group rings for “rings up to homotopy” (FSP's) and calculate the THH-rcstriction map in terms of transfers in generalized homology theories.
ISSN:0022-4049
1873-1376
DOI:10.1016/S0022-4049(97)00117-5