43 citations · 377 across the 38 of their papers we have counts for
12 papers · 1 filter
Recipes to compute the algebraic K-theory of Hecke algebras of reductive p-adic groups
Arthur Bartels, Wolfgang Lueck
We compute the algebraic K-theory of the Hecke algebra of a reductive p-adic group G using the fact that the Farrell-Jones Conjecture is known in this context. The main tool will b…
K- and L-theory of graph products of groups
Daniel Kasprowski, Kevin Li, Wolfgang Lück
We compute the group homology, the algebraic - and -groups, and the topological -groups of right-angled Artin groups, right-angled Coxeter groups, and more generally, grap…
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…
Localization, Whitehead groups, and the Atiyah Conjecture
Peter Linnell, Wolfgang Lück
Let Wh^w(G) be the K_1-group of square matrices over the integral group ring ZG which are not necessarily invertible but induce weak isomorphisms after passing to Hilbert space com…
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…
Splitting the relative assembly map, Nil-terms and involutions
Wolfgang Lueck, Wolfgang Steimle
We show that the relative Farrell-Jones assembly map from the family of finite subgroups to the family of virtually cyclic subgroups for algebraic K-theory is split injective in th…
The Farrell-Jones conjecture for arbitrary lattices in virtually connected Lie groups
Holger Kammeyer, Wolfgang Lueck, Henrik Rueping
We prove the K- and the -theoretic Farrell-Jones conjecture with coefficients in additive categories and with finite wreath products for arbitrary lattices in virtually connecte…
A twisted Bass-Heller-Swan decomposition for the algebraic K-theory of additive categories
Wolfgang Lueck, Wolfgang Steimle
We prove a twisted Bass-Heller-Swan decomposition for both the connective and the non-connective K-theory spectrum of additive categories.
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).
On the K- and L-theory of hyperbolic and virtually finitely generated abelian groups
Wolfgang Lueck, David Rosenthal
We investigate the algebraic K- and L-theory of the group ring RG, where G is a hyperbolic or virtually finitely generated abelian group and R is an associative ring with unit.
The limit of F_p-Betti numbers of a tower of finite covers with amenable fundamental groups
Peter Linnell, Wolfgang Lueck, Roman Sauer
We prove an analogue of the Approximation Theorem of L^2-Betti numbers by Betti numbers for arbitrary coefficient fields and virtually torsionfree amenable groups. The limit of Bet…
Induction and computation of Bass Nil Groups for finite groups
Ian Hambleton, Wolfgang Lueck
Let G be a finite group. We show that the Bass Nil-groups , , are generated from the p-subgroups of G by induction maps, certain twisting maps depending on eleme…