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

Moulay-Tahar Benameur, Indrava Roy

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,…