The equivariant coarse geometric <span class="math-tex">\(lp\)</span>−Novikov conjecture for subspaces of non-positively curved manifolds

Abstract

We are concerned in the study of the equivariant coarse geometric <span class="math-tex">\(lp-\)</span>Novikov conjecture. We show that this conjecture holds for metric spaces with bounded geometry which admit a coarse embedding into a connected, simply connected, complete Riemannian manifold of nonpositive sectional curvature.