11 papers
L^2-Betti numbers in prime characteristic and a conjecture of Wise
Grigori Avramidi, Wolfgang Lueck
We systematically study L^2-Betti numbers in zero and prime characteristic and apply them to a conjecture of Wise stating that all towers of a finite 2-complex are non-positive if…
-torsion of automorphisms
Sam Hughes, Wolfgang Lueck
We develop the theory of -torsion of an automorphism of a group and compute it for every automorphism of a group which is hyperbolic and one-ended relative to a finite collect…
Survey on the Farrell-Jones Conjecture
Wolfgang Lueck
This is a survey on the Farrell-Jones Conjecture about the algebraic K- and L-theory of groups rings and its applications to algebra, geometry, group theory, and topology.
Some criteria concerning the rational vanishing of Whitehead groups
Wolfgang Lueck, Bob Oliver
We give several examples of finite groups for which the rank of the tensor product Wh is or is not zero. This is motivated…
Algebraic K-theory of completed Kac-Moody groups
Arthur Bartels, Wolfgang Lueck, Stefan Witzel
We extend results for the K-theory of Hecke algebras of reductive -adic groups to completed Kac-Moody groups.
Some problems and conjectures about -invariants
Dominik Kirstein, Christian Kremer, Wolfgang Lueck
In this article we give a survey on open problems and conjectures concerning L^2-invariants. We cover the whole portfolio and not only certain aspects as they are considered in the…
Inheritance properties of the Farrell-Jones Conjecture for totally disconnected groups
Arthur Bartels, Wolfgang Lueck
In this paper we formulate and lay the foundations for the K-theoretic Farrell-Jones Conjecture for the Hecke algebra of totally disconnected groups. The main result of his paper i…
Algebraic K-theory of reductive p-adic groups
Arthur Bartels, Wolfgang Lueck
Motivated by the Farrell-Jones Conjecture for group rings, we formulate the op-Farrell-Jones Conjecture for the K-theory of Hecke algebras of td-groups. We prove this…
Almost equivariant maps for td-groups
Arthur Bartels, Wolfgang Lueck
We construct certain maps from buildings associated to td-groups to a space closely related to the classifying numerable -space for the family vcy of covirtually cy…
On Nielsen realization and manifold models for classifying spaces
James F. Davis, Wolfgang Lueck
We consider the problem of whether, for a given virtually torsionfree discrete group , there exists a cocompact proper topological -manifold, which is equivariantly homotopy…
On the algebraic K-theory of Hecke algebras
Arthur Bartels, Wolfgang Lueck
Consider a totally disconnected group G, which is covirtually cyclic, i.e., contains a normal compact open subgroup L such that G/L is infinite cyclic. We establish a Wang sequence…