We generalize a spectral sequence of Brun for the computation of topological Hochschild homology. The generalized version computes the –homology of , where is a ring spectrum, is a commutative –algebra and is a connective commutative –algebra. The input of the spectral sequence are the topological Hochschild homology groups of with coefficients in the –homology groups of . The mod and topological Hochschild homology of connective complex –theory has been computed by Ausoni and later again by Rognes, Sagave and Schlichtkrull. We present an alternative, short computation using the generalized Brun spectral sequence.
"On the Brun spectral sequence for topological Hochschild homology." Algebr. Geom. Topol. 20 (2) 817 - 863, 2020. https://doi.org/10.2140/agt.2020.20.817