activity
20152023
collaborators

12 papers

math.KT2023

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…

math.GT2019

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…

math.KT2019

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…

math.AT2017

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…

math.GT2016

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}…

math.GT2016

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…