143 citations · 258 across the 18 of their papers we have counts for
5 papers · 1 filter
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…
On the Farrell-Jones Conjecture for higher algebraic K-theory
A. Bartels, H. Reich
We prove the Farrell-Jones Isomorphism Conjecture about the algebraic K-theory of a group ring RG in the case where the group G is the fundamental group of a closed Riemannian mani…
L^2-Betti numbers, isomorphism conjectures and noncommutative localization
Holger Reich
In this paper we discuss how the question about the rationality of L^2-Betti numbers is related to the Isomorphism Conjecture in algebraic K-theory and why in this context noncommu…
Commuting homotopy limits and smash products
Wolfgang Lueck, Holger Reich, Marco Varisco
In general the processes of taking a homotopy inverse limit of a diagram of spectra and smashing spectra with a fixed space do not commute. In this paper we investigate under what…
On the Isomorphism Conjecture in algebraic K-theory
Arthur Bartels, Tom Farrell, Lowell Jones +1
The Isomorphism Conjecture is a conceptional approach towards a calculation of the algebraic K-theory of a group ring RG, where G is an infinite group. In this paper we prove the c…