Publications (25)
Geometric Property (T)
Rufus Willett, Guoliang Yu
A relative higher index theorem, diffeomorphisms and positive scalar curvature
Zhizhang Xie, Guoliang Yu
Finite part of operator K-theory for groups finitely embeddable into Hilbert space and the degree of non-rigidity of manifolds
Shmuel Weinberger, Guoliang Yu
Persistence approximation property and controlled operator K-theory
Hervé Oyono-Oyono, Guoliang Yu
On a quantitative operator K-theory
Hervé Oyono-Oyono, Guoliang Yu
The Baum-Connes conjecture for hyperbolic groups
Igor Mineyev, Guoliang Yu
Positive scalar curvature, higher rho invariants and localization algebras
Zhizhang Xie, Guoliang Yu
The Novikov conjecture for algebraic K-theory of the group algebra over the ring of Schatten class operators
Guoliang Yu
The coarse geometric Novikov conjecture and uniform convexity
Gennadi Kasparov, Guoliang Yu
Higher rho invariants and the moduli space of positive scalar curvature metrics
Zhizhang Xie, Guoliang Yu
An Analytic Grothendieck Riemann Roch Theorem
Ronald G. Douglas, Xiang Tang, Guoliang Yu
Finite decomposition complexity and the integral Novikov conjecture for higher algebraic K-theory
Daniel A. Ramras, Romain Tessera, Guoliang Yu
A New Index Theorem for Monomial Ideals by Resolutions
Ronald G. Douglas, Mohammad Jabbari, Xiang Tang +1
Dynamic Asymptotic Dimension: relation to dynamics, topology, coarse geometry, and $C^*$-algebras
Erik Guentner, Rufus Willett, Guoliang Yu
Metric sparsification and operator norm localization
Xiaoman Chen, Romain Tessera, Xianjin Wang +1
A finite dimensional approach to the strong Novikov conjecture
Daniel Ramras, Rufus Willett, Guoliang Yu
Higher index theory for certain expanders and Gromov monster groups II
Rufus Willett, Guoliang Yu
Higher index theory for certain expanders and Gromov monster groups I
Rufus Willett, Guoliang Yu
Hyperbolic groups admit proper affine isometric actions on $l^p$-spaces
Guoliang Yu
The maximal coarse Baum-Connes conjecture for spaces which admit a fibred coarse embedding into Hilbert space
Xiaoman Chen, Qin Wang, Guoliang Yu
Quantitative K-theory and the K{ü}nneth formula for operator algebras
Hervé Oyono-Oyono, Guoliang Yu
A notion of geometric complexity and its application to topological rigidity
Erik Guentner, Romain Tessera, Guoliang Yu
K-theory of group Banach algebras and Banach property RD
Benben Liao, Guoliang Yu
Positive scalar curvature and a new index theory for noncompact manifolds
Stanley Chang, Shmuel Weinbeger, Guoliang Yu
K-theory for the maximal Roe algebra of certain expanders
Oyono-Oyono Hervé, Guoliang Yu