The transfer map in topological Hochschild homology Original Research Article

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 subset of or equal to G of finite index in terms of ordinary group homology transfers. This gives information on the corresponding restriction map in Quillenʹs 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” (FSPʹs) and calculate the THH-rcstriction map in terms of transfers in generalized homology theories.