143 citations · 375 across the 28 of their papers we have counts for
33 papers
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…
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…
Almost equivariant maps for td-groups
Arthur Bartels, Wolfgang Lueck
We construct certain maps from buildings associated to td-groups to a space closely related to the classifying numerable -space for the family vcy of covirtually cy…
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…
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.…