7 citations · 14 across the 4 of their papers we have counts for
6 papers
Note on the injectivity of the Loday assembly map
Mark Ullmann, Xiaolei Wu
We show that for finite groups the Loday assembly map with coefficients in finite fields is in general not injective.
The A-theoretic Farrell-Jones Conjecture for virtually solvable groups
Daniel Kasprowski, Mark Ullmann, Christian Wegner +1
We prove the A-theoretic Farrell-Jones Conjecture for virtually solvable groups. As a corollary, we obtain that the conjecture holds for S-arithmetic groups and lattices in almost…
On the Farrell-Jones Conjecture for Waldhausen's -theory
Nils-Edvin Enkelmann, Wolfgang Lück, Malte Pieper +2
We prove the Farrell-Jones Conjecture for (non-connective) -theory with coefficients and finite wreath products for hyperbolic groups, CAT(0)-groups, cocompact lattices in almos…
On the Farrell-Jones Conjecture for algebraic K-theory of spaces: the Farrell-Hsiang method
Mark Ullmann, Christoph Winges
We prove the Farrell-Jones Conjecture for algebraic K-theory of spaces for virtually poly-Z-groups. For this, we transfer the 'Farrell-Hsiang method' from the linear case to catego…
The First Differential of the Functor "Algebraic K-Theory of Spaces"
Mark Ullmann
In his "Algebraic K-theory of topological spaces II" Waldhausen proved that his functor A(X) splits: There is a canonical map from the stable homotopy of X which has a retraction u…
Controlled Algebra for Simplicial Rings and Algebraic K-theory
Mark Ullmann
We develop a version of controlled algebra for simplicial rings. This generalizes the methods which lead to successful proofs of the algebraic K- theory isomorphism conjecture (Far…