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.
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