Brun, Morten: Filtered Topological Hochschild Homology

Submission: 2000, Feb. 16

In this paper we examine a certain filtration on topological Hochschild homology. This filtration has the virtue that it respects the cyclic structure of topological Hochschild homology, and therefore it is compatible with the cyclotomic structure used to define topological cyclic homology. As an example we show how the skeleton filtration of a simplicial ring gives rise to spectral sequences similar to the change of ring spectral sequences considered by Pirashvili and Waldhausen.

1991 Mathematics Subject Classification: Primary 19D55; Secondary 16E40

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