143 citations · 258 across the 18 of their papers we have counts for
18 papers
Algebraic -theory, assembly maps, controlled algebra, and trace methods
Holger Reich, Marco Varisco
We give a concise introduction to the Farrell-Jones Conjecture in algebraic -theory and to some of its applications. We survey the current status of the conjecture, and we illus…
Assembly maps for topological cyclic homology of group algebras
Wolfgang Lueck, Holger Reich, John Rognes +1
We use assembly maps to study , the topological cyclic homology at a prime of the group algebra of a discrete group with coefficients in a con…
Algebraic K-theory of group rings and the cyclotomic trace map
Wolfgang Lueck, Holger Reich, John Rognes +1
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…
On the Adams isomorphism for equivariant orthogonal spectra
Holger Reich, Marco Varisco
We give a natural construction and a direct proof of the Adams isomorphism for equivariant orthogonal spectra. More precisely, for any finite group G, any normal subgroup N of G, a…
K- and L-theory of group rings over GL_n(Z)
Arthur Bartels, Wolfgang Lueck, Holger Reich +1
We prove the K- and L-theoretic Farrell-Jones Conjecture (with coefficients in additive categories) for GL_n(Z).
Algebraic K-theory over the infinite dihedral group: a controlled topology approach
James F. Davis, Frank Quinn, Holger Reich
We use controlled topology applied to the action of the infinite dihedral group on a partially compactified plane and deduce two consequences for algebraic K-theory. The first is t…