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(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2017)
We use assembly maps to study TC.AŒG I p/, the topological cyclic homology at a prime p of the group algebra of a discrete group G with coefficients in a connective ring spectrum A. For any finite group, we prove that the ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2019)
Each extended Cartan-Eilenberg system (H,∂) gives rise to two exact couples and one spectral sequence. We show that the canonical colim-lim interchange morphism associated to H is a surjection, and that its kernel is ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2018)
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2015)
The canonical map from the Kan subdivision of a product of finite simplicial sets to the product of the Kan subdivisions is a simple map, in the sense that its geometric realization has contractible point inverses.
First ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2015)
We study the logarithmic topological Hochschild homology of ring spectra with logarithmic structures and establish localization sequences for this theory. Our results apply, for example, to connective covers of periodic ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2016)
In this paper we continue our study of logarithmic topological Hochschild homology. We show that the inclusion of the connective Adams summand ℓ into the p-local complex connective K-theory spectrum ku(p), equipped with ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2016)
We prove that the Farrell–Jones assembly map for connective algebraic K -theory is rationally injective, under mild homological finiteness conditions on the group and assuming that a weak version of the Leopoldt–Schneider ...