22 citations · 24 across the 11 of their papers we have counts for
6 papers · 1 filter
Classifying quasi-representations of groups via their characters
Shmuel Weinberger, Jianchao Wu, Guoliang Yu
For every countable discrete group, we construct a character for finite-dimensional unitary quasi-representations, with values in the inverse limit of the equivariant -theory of…
Quantitative index, Novikov conjecture and coarse decomposability
Hervé Oyono-Oyono, Guoliang Yu
We define for families of finite metric spaces quantitative assembly map estimates that take into account propagation phenomena for pseudo-differential calculus. We relate these es…
Hilbert-Hadamard spaces and the equivariant coarse Novikov conjecture
Liang Guo, Qin Wang, Jianchao Wu +1
The equivariant coarse Novikov conjectures stand among a handful profound -theoretic conjectures in noncommutative geometry. Motivated by the quest to verify Novikov-type conjec…
-coarse Baum-Connes conjecture for -coarse embeddable spaces
Jinmin Wang, Zhizhang Xie, Guoliang Yu +1
We prove an -version of the coarse Baum-Connes conjecture for spaces that coarsely embedds into -spaces for any and in .
Higher index theory for spaces with an FCE-by-FCE structure
Jintao Deng, Liang Guo, Qin Wang +1
Let be a sequence of extensions of finite groups. Assume that the coarse disjoint unions of , $(G_n)_{n \…
The Novikov conjecture, the group of diffeomorphisms and continuous fields of Hilbert-Hadamard spaces
Sherry Gong, Jianchao Wu, Zhizhang Xie +1
In this paper, we prove the Novikov conjecture for a class of highly non-linear groups, namely discrete subgroups of the diffeomorphism group of a compact smooth manifold. This rem…