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Guoliang Yu

Selected Recent Publications

 

(with E. Guentner and R. Tessera) Decomposition complexity and the stable Borel conjecture, preprint, 2008.

(with E. Guentner and R. Tessera), Operator norm localization for linear groups and its applications to K-theory, preprint, 2008.

(with Herve Oyono-Oyono) K-theory for a certain expanders, preprint 2008.

(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.