The Higson-Roe exact sequence and \ell^2 eta invariants

The goal of this paper is to solve the problem of existence of an \ell^2 relative eta morphism on the Higson-Roe structure group. Using the Cheeger-Gromov \ell^2 eta invariant, we construct a group morphism from the Higson-Roe maximal structure group constructed in [HiRo:10] to the reals. When we apply this... Show more