In this paper certain filtrations of topological Hochschild homology and topological cyclic homology are examined. As an example we show how the filtration with respect to a nilpotent ideal gives rise to an analog of a theorem of Goodwillie saying that rationally relative –theory and relative cyclic homology agree. Our variation says that the –torsion parts agree in a range of degrees. We use it to compute for .
"Filtered topological cyclic homology and relative K–theory of nilpotent ideals." Algebr. Geom. Topol. 1 (1) 201 - 230, 2001. https://doi.org/10.2140/agt.2001.1.201