43 citations · 377 across the 38 of their papers we have counts for
45 papers
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…
Manifolds homotopy equivalent to certain torus bundles over lens spaces
James F. Davis, Wolfgang Lueck
We compute the topological simple structure set of closed manifolds which occur as total spaces of flat bundles over lens spaces S^l/(Z/p) with fiber an n-dimensjional torus T^n fo…
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…
A vanishing theorem for tautological classes of aspherical manifolds
Fabian Hebestreit, Markus Land, Wolfgang Lück +1
Tautological classes, or generalised Miller-Morita-Mumford classes, are basic characteristic classes of smooth fibre bundles, and have recently been used to describe the rational c…
Groups and polytopes
Stefan Friedl, Wolfgang Lück, Stephan Tillmann
In a series of papers the authors associated to an -acyclic group an invariant that is a formal difference of polytopes in the vector space $H_1(Γ;\Bbb{R}…
Universal -torsion, polytopes and applications to -manifolds
Stefan Friedl, Wolfgang Lück
Given an -acyclic connected finite -complex, we define its universal -torsion in terms of the chain complex of its universal covering. It takes values in the weak Whi…
-Euler characteristics and the Thurston norm
Stefan Friedl, Wolfgang Lück
We assign to a finite -complex and an element in its first cohomology group a twisted version of the -Euler characteristic and study its main properties. In the case of an…
On the Farrell-Jones Conjecture for Waldhausen's -theory
Nils-Edvin Enkelmann, Wolfgang Lück, Malte Pieper +2
We prove the Farrell-Jones Conjecture for (non-connective) -theory with coefficients and finite wreath products for hyperbolic groups, CAT(0)-groups, cocompact lattices in almos…
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…
Approximately fibering a manifold over an aspherical one
Tom Farrell, Wolfgang Lueck, Wolfgang Steimle
The paper is devoted to the problem when a map from some closed connected manifold to an aspherical closed manifold approximately fibers, i.e., is homotopic to Manifold Approximate…
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…
The L^2-torsion function and the Thurston norm of 3-manifolds
Stefan Friedl, Wolfgang Lück
Let M be an oriented irreducible 3-manifold with infinite fundamental group and empty or toroidal boundary. Consider any element ϕin the first cohomology of M with integral coeffic…
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 -Alexander torsion is symmetric
Jérôme Dubois, Stefan Friedl, Wolfgang Lück
We show that the -Alexander torsion of a 3-manifold is symmetric. This can be viewed as a generalization of the symmetry of the Alexander polynomial of a knot.
Three flavors of twisted invariants of knots
Jérôme Dubois, Stefan Friedl, Wolfgang Lück
The Alexander polynomial of a knot has been generalized in three different ways to give twisted invariants. The resulting invariants are usually referred to as twisted Alexander po…
The L^2-Alexander torsion of 3-manifolds
Jérôme Dubois, Stefan Friedl, Wolfgang Lück
We introduce -Alexander torsions for 3-manifolds, which can be viewed as a generalization of the -Alexander polynomial of Li--Zhang. We state the -Alexander torsions…
On complex highly regular embeddings and the extended Vassiliev conjecture
Pavle V. M. Blagojević, Frederick R. Cohen, Wolfgang Lück +1
A continuous map C^d -> C^N is a complex k-regular embedding if any k pairwise distinct points in C^d are mapped by f into k complex linearly independent vectors in C^N. Our centra…
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.
Equivariant principal bundles and their classifying spaces
Bernardo Uribe, Wolfgang Lueck
We consider Γ-equivariant principal G-bundles over proper Γ-CW-complexes with prescribed family of local representations. We construct and analyze their classifying spaces for loca…
Equivariant Topology of Configuration Spaces
Pavle V. M. Blagojević, Wolfgang Lück, Günter M. Ziegler
We study the Fadell-Husseini index of the configuration space F(R^d,n) with respect to different subgroups of the symmetric group S_n. For p prime and d>0, we completely determine…
The first -Betti number and approximation in arbitrary characteristic
Mikhail Ershov, Wolfgang Lueck
Let G be a finitely generated group and (G_i) a descending chain of finite index normal subgroups of G. Given a field K, we consider the sequence b_1(G_i;K)/[G:G_i] of normalized f…
On the spectral density function of the Laplacian of a graph
Herbert Koch, Wolfgang Lueck
Let X be a finite graph. Let E be the number of its edges and d be its degree. Denote by F_1(X) its first spectral density function which counts the number of eigenvalues less or e…