6 papers · 1 filter
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.
Some criteria concerning the rational vanishing of Whitehead groups
Wolfgang Lueck, Bob Oliver
We give several examples of finite groups for which the rank of the tensor product Wh is or is not zero. This is motivated…
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.
Inheritance properties of the Farrell-Jones Conjecture for totally disconnected groups
Arthur Bartels, Wolfgang Lueck
In this paper we formulate and lay the foundations for the K-theoretic Farrell-Jones Conjecture for the Hecke algebra of totally disconnected groups. The main result of his paper i…
Algebraic K-theory of reductive p-adic groups
Arthur Bartels, Wolfgang Lueck
Motivated by the Farrell-Jones Conjecture for group rings, we formulate the op-Farrell-Jones Conjecture for the K-theory of Hecke algebras of td-groups. We prove this…
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…