Large Riemannian manifolds which are flexible

• DOI: 10.4007/annals.2003.157.919
• Publication Date: 2009-04-22T15:55:03Z
• Authors: Alexander Dranish...; Steven Ferry; Shmuel Weinberger
• Keywords: 0101 mathematics; 01 natural sciences

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