5 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.
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.
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…