W. Lueck

activity

20242026

collaborators

5 papers

math.AT2026

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…

math.GR2026

$L^{2}$ -torsion of automorphisms

Sam Hughes, Wolfgang Lueck

We develop the theory of $L^{2}$ -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…

math.KT2025

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.

math.KT2025

Some criteria concerning the rational vanishing of Whitehead groups

Wolfgang Lueck, Bob Oliver

We give several examples of finite groups $G$ for which the rank of the tensor product $Z \otimes_{Z Aut (G)}$ Wh $(G)$ is or is not zero. This is motivated…

math.KT2024

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 $p$ -adic groups to completed Kac-Moody groups.