32 citations · 280 across the 45 of their papers we have counts for
5 papers · 1 filter
K- and L-theory of the semi-direct product of the discrete 3-dimensional Heisenberg group by Z/4
Wolfgang Lueck
We compute the group homology, the topological K-theory of the reduced C^*-algebra, the algebraic K-theory and the algebraic L-theory of the group ring of the semi-direct product o…
Isomorphism Conjecture for homotopy K-theory and groups acting on trees
Arthur Bartels, Wolfgang Lueck
We discuss an analogon to the Farrell-Jones Conjecture for homotopy algebraic K-theory. In particular, we prove that if a group G acts on a tree and all isotropy groups satisfy thi…
Induction Theorems and Isomorphism Conjectures for K- and L-Theory
Arthur Bartels, Wolfgang Lueck
The Farrell-Jones and the Baum-Connes Conjecture say that one can compute the algebraic K- and L-theory of the group ring and the topological K-theory of the reduced group C^*-alge…
The Baum-Connes and the Farrell-Jones Conjectures in K- and L-Theory
Wolfgang Lueck, Holger Reich
We give a survey of the meaning, status and applications of the Baum-Connes Conjecture about the topological K-theory of the reduced group C^*-algebra and the Farrell-Jones Conject…
Groups of small homological dimension and the Atiyah Conjecture
Peter Kropholler, Peter Linnell, Wolfgang Lueck
A group G has homological dimension less or equal to 1 if it is locally free. We prove the converse provided that G satisfies the Atiyah Conjecture about L^2-Betti numbers. We also…