From the 1 of 10 linked papers with an AI index.
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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 .
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…
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…