2 papers
math.FA2026
Embedding complexity into the universal Banach space and the strong Novikov conjecture
Geng Tian, Guoliang Yu
Brown-Guentner and Haagerup-Przybyszewska showed that every discrete group admits a proper affine isometric action on the universal Banach space $\bigoplus_{p=1}^{\infty} \ell^{2p}…
math.FA2025
Strong relative Novikov conjecture for coarsely embeddable groups
Geng Tian, Zhizhang Xie, Guoliang Yu
In this article, we prove a strong relative Novikov conjecture for any pair of groups that are coarsely embeddable into Hilbert space.