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The transfer map in topological Hochschild homology

Authors :
Christian Schlichtkrull
Source :
Journal of Pure and Applied Algebra. 133:289-316
Publication Year :
1998
Publisher :
Elsevier BV, 1998.

Abstract

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.

Details

ISSN :
00224049
Volume :
133
Database :
OpenAIRE
Journal :
Journal of Pure and Applied Algebra
Accession number :
edsair.doi.dedup.....32e2b734900becf77107d0091a16c742
Full Text :
https://doi.org/10.1016/s0022-4049(97)00117-5