For each k∈ℤ, we construct a uniformly contractible metric on Euclidean space which is not mod k hypereuclidean. We also construct a pair of uniformly contractible Riemannian metrics on ℝn, n≥11, so that the resulting manifolds Z and Z′ are bounded homotopy equivalent by a homotopy equivalence which is not boundedly close to a homeomorphism. We show that for these spaces the C∗-algebra assembly map Klf∗(Z)→K∗(C∗(Z)) from locally finite K-homology to the K-theory of the bounded propagation algebra is not a monomorphism. This shows that an integral version of the coarse Novikov conjecture fails for real operator algebras. If we allow a single cone-like singularity, a similar construction yields a counterexample for complex C∗-algebras.