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In this paper, we prove the coarse geometric -Novikov conjecture for metric spaces with bounded geometry which admit a coarse embedding into a simply connected complete Riemannian manifold of nonpositive sectional curvature.
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Lin Shan, Qin Wang, The coarse geometric -Novikov conjecture for subspaces of nonpositively curved manifolds. J. Noncommut. Geom. 15 (2021), no. 4, pp. 1323–1354DOI 10.4171/JNCG/436