7 citations · 7 across the 3 of their papers we have counts for
4 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…
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…
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…
The Novikov conjecture, the group of volume preserving diffeomorphisms and Hilbert-Hadamard spaces
Sherry Gong, Jianchao Wu, Guoliang Yu
We prove that the Novikov conjecture holds for any discrete group admitting an isometric and metrically proper action on an admissible Hilbert-Hadamard space. Admissible Hilbert-Ha…