Let W be a Coxeter group acting properly discontinuously and cocompactly on manifolds N and M (∂M = ∅) such that the fixed point sets of finite subgroups are contractible. Let f : (N, ∂N) →… (More)

Some forty years ago Per Enflo introduced the nonlinear notions of roundness and generalized roundness for general metric spaces in order to study (a) uniform homeomorphisms between (quasi-) Banach… (More)

Let Γ be a discrete group which is a split extension of a group ∆ by a Coxeter group W , with ∆ acting on W by Coxeter graph automorphisms with kernel ∆0. Let Mi, i = 1, 2, be two Γ-manifolds… (More)

For groups that satisfy the Isomorphism Conjecture in lower K-theory, we show that the cokernel of the forget-control K0-groups is composed by the NK0-groups of the finite subgroups. Using this… (More)

Roundness of metric spaces was introduced by Per Enflo as a tool to study uniform structures of linear topological spaces. The present paper investigates geometric and topological properties detected… (More)

It is known that the K-theory of a large class of groups can be computed from the Ktheory of their virtually infinite cyclic subgroups. On the other hand, Nil-groups appear to be the obstacle in… (More)

Poly-free groups are constructed as iterated semidirect products of free groups. The class of poly-free groups includes the classical pure braid groups, fundamental groups of fiber-type hyperplane… (More)

Let Γi, i = 0, 1, be two groups containing Cp, the cyclic group of prime order p, as a subgroup of index 2. Let Γ = Γ0 ∗Cp Γ1. We show that the Nil-groups appearing in Waldhausen’s splitting theorem… (More)

We formulate and prove a geometric version of the Fundamental Theorem of Algebraic K-Theory which relates the K-theory of the Laurent polynomial extension of a ring to the K-theory of the ring. The… (More)

We compute the equivariant zeta function for bundles over infinite graphs and for infinite covers. In particular, we give a “transfer formula” for the zeta function of infinite graph covers. Also,… (More)