activity
19972026
most citedThe structure of crossed products of irrational rotation algebras by finite subgroups of SL_2 (Z)

32 citations · 280 across the 45 of their papers we have counts for

collaborators

45 papers

math.AT2026

Some closed manifolds that do not fibre over the circle

Sam Hughes, Ian Leary, Wolfgang Lueck

We construct closed manifolds with vanishing L^2-Betti numbers over every field) which do not virtually fibre over the circle. The class of fundamental groups that occurs is the la…

math.KT2024

Relative assembly maps and the K-theory of Hecke algebras in prime characteristic

Wolfgang Lueck

We investigate the relative assembly map from the family of finite subgroups to the family of virtually cyclic subgroups for the algebraic -theory of twisted group rings of a gr…

math.GT2021★ 3 cited

Survey on L^2-invariants and 3-manifolds

Wolfgang Lueck

In this paper give a survey about L^2-invariants focusing on 3-manifolds.

math.KT2020

Vanishing of Nil-terms and negative K-theory for additive categories

Arthur Bartels, Wolfgang Lueck

We extend the notion of regular coherence from rings to additive categories and show that well-known consequences of regular coherence for rings also apply to additive categories.…

math.AT2019★ 1 cited

The Segal Conjecture for Infinite Groups

Wolfgang Lueck

We formulate and prove a version of the Segal Conjecture for infinite groups. For finite groups it reduces to the original version. The condition that G is finite is replaced in ou…

math.OA2019★ 1 cited

Lehmer's Problem for arbitrary groups

Wolfgang Lueck

We consider the problem whether for a group G there exists a constant Lambda(G) > 1 such that for any (r,s)-matrix A over the integral group ring ZG the Fuglede-Kadison determinant…