Publications (69)
Geometric Property (T)
Rufus Willett, Guoliang Yu
This paper discusses `geometric property (T)'. This is a property of metric spaces introduced in earlier work of the authors for its applications to K-theory. Geometric property (T…
Delocalized eta invariants, algebraicity, and -theory of group -algebras
Zhizhang Xie, Guoliang Yu
In this paper, we establish a precise connection between higher rho invariants and delocalized eta invariants. Given an element in a discrete group, if its conjugacy class has poly…
Symmetry Strategy for Rapid Discovery of Abundant Fractional Quantum Ferroelectrics
Guoliang Yu, Junyi Ji, Changsong Xu +1
Traditional ferroelectrics are limited by Neumann's principle, which confines exploration of ferroelectrics within polar point groups. Our recent work [Nat. Commun. 15, 135, (2024)…
Approximations of delocalized eta invariants by their finite analogues
Jinmin Wang, Zhizhang Xie, Guoliang Yu
For a given self-adjoint first order elliptic differential operator on a closed smooth manifold, we prove a list of results on when the delocalized eta invariant associated to a re…
Persistence approximation property and controlled operator K-theory
Hervé Oyono-Oyono, Guoliang Yu
In this paper, we introduce and study the persistent approximation property for quantitative K-theory of filtered C*-algebras. In the case of crossed product C*-algebras, the persi…
The Baum-Connes conjecture for hyperbolic groups
Igor Mineyev, Guoliang Yu
We prove the Baum-Connes conjecture for hyperbolic groups and their subgroups.