43 citations · 377 across the 38 of their papers we have counts for
8 papers · 1 filter
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…
On the growth of Betti numbers in -adic analytic towers
Nicolas Bergeron, Peter Linnell, Wolfgang Lück +1
We study the asymptotic growth of Betti numbers in tower of finite covers and provide simple proofs of approximation results, which were previously obtained by Calegari-Emerton, in…
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).
Approximating L^2-invariants and homology growth
Wolfgang Lueck
In this paper we consider the asymptotic behavior of invariants such as Betti numbers, minimal numbers of generators of singular homology, the order of the torsion subgroup of sing…
K-theory for ring C*-algebras - the case of number fields with higher roots of unity
Xin Li, Wolfgang Lück
We compute K-theory for ring C*-algebras in the case of higher roots of unity and thereby completely determine the K-theory for ring C*-algebras attached to rings of integers in ar…
Dwyer-Kan homotopy theory of enriched categories
Fernando Muro
We construct a model structure on the category of small categories enriched over a combinatorial closed symmetric monoidal model category satisfying the monoid axiom. Weak equivale…