The algebraic K-theory Novikov conjecture for group algebras over the ring of Schatten class operators, preprint, 2011.
(with G. Kasparov) The Novikov conjecture and geometry of Banach space, submitted, 2010.
(with D. Ramras and R. Tessera) Finite decomposition complexity and the integral Novikov conjecture for higher algebraic K-theory, preprint, 2011.
(with Erik Guentner) A Milnor sequence for operator K-theory, preprint, 2011.
(with R. Willett) Higher index theory for certain expanders and Gromov's monster groups I, Advances in Mathematics, 229 (2012) 1380-1416.
(with R. Willett) Higher index theory for certain expanders and Gromov's monster groups II, Advances in Mathematics, 229 (2012) 1762-1803.
(with E. Guentner and R. Tessera) A notion of geometric complexity and its application to topological rigidity, Inventiones Mathematicae, DOI 10.1007/s00222-011-0366-z, (2011) 1-43.
(with E. Guentner and R. Tessera) Discrete groups with finite decomposition complexity, to appear in Groups, Geometry and Dynamics.
(with H. Oyono-Oyono) On a quantitative Baum-Connes conjecture, to appear in Annales de l'Institut Fourier.
Large scale geometry and its applications, Contemporary Mathematics, AMS, Vol. 546, 2011, 305-315.
(with E. Guentner and R. Tessera) Operator norm localization for linear groups and its applications to K-theory, Advances in Mathematics, Volume 226, 4 (2011), 3495-3510.
(with S. Chang and S. Weinberger) Taming 3-manifolds using scalar curvature, Geometriae Dedicata, Vol. 148, 1 (2010), 3-14.
A characterization of the image of the Baum-Connes map, Clay Mathematics Proceedings, Vol. 11, 2010, 649-657.
(with H. Oyono-Oyono) K-theory for a certain expanders, Journal of Functional Analysis, Vol. 257, 10 (2009), 3239-3292.
(with X. Chen, R. Tessera and X.Wang) Metric sparsification and operator norm localization property, Advances in Mathematics
, 218 (2008), no. 5, 1496–1511.
(with P. Nowak) What is Property A?, Notices of AMS, Volume 55, Issue 4, 2008.
(with G. Gong and Q. Wang) Geometrization of the strong Novikov conjecture for residually finite groups. J. Reine Ang. Math. 621 (2008), 159–189.
(with S. Chang and S. Ferry) Bounded rigidity of manifolds and asymptotic dimension growth. Journal of K-theory, 1 (2008), no. 1, 129–144.
Higher index theory of elliptic operators and geometry of groups. Proceedings of International Congress of Mathematicians, Madrid
, Vol. 2, 1623-1639, 2006.
Hyperbolic groups admit proper affine isometric action on l p
-spaces, Geometric and Functional Analysis
, Vol. 15, 5 (2005) 1114-1151.
(with G. Kasparov) The coarse geometric Novikov conjecture and uniform convexity, Advances in Mathematics
, Vol. 206, 1(2006) 1-56
(with G. Skandalis and J.-L. Tu) The coarse Baum-Connes conjecture and groupoids, Topology
, Vol. 41, (2002), pp. 807-834.
(with I. Mineyev) The Baum-Connes conjecture for hyperbolic groups, Inventiones Mathematicae
, Vol. 149, (2002), pp. 97-122.
(with G. Gong) Volume growth and positive scalar curvature. Geometric and Functional Analysis, Vol. 10, 4 (2000), pp. 821-828.
The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space. Inventiones Mathematicae, Vol. 139, 1 (2000), pp. 201-240.
The Novikov conjecture for groups with finite asymptotic dimension. Annals of Mathematics, Vol. 147, 2 (1998, pp. 325-355.
Localization algebras and the coarse Baum-Connes conjecture. K-Theory, Vol. 11, 4 (1997), pp. 307-318.
Zero-in-the-spectrum conjecture, positive scalar curvature and asymptotic dimension. Inventiones Mathematicae, 127 (1997), pp. 99-126.
Cyclic cohomology and higher indices for noncompact complete Riemannian manifolds. Journal of Functional Analysis, 133 (1995), pp. 442-473.
Coarse Baum-Connes conjecture. K-Theory, Vol. 9, 3 (1995), pp. 199-221.