3 papers
math.OA2026
The Coarse Novikov Conjecture for Finite Products of Fibred Coarsely Embeddable Spaces
Liang Guo, Zheng Luo, Qin Wang
In this paper, we prove that the coarse Novikov conjecture holds for finite products of bounded-geometry proper metric spaces whose factors admit fibred coarse embeddings into poss…
math.KT2022
A Bott periodicity theorem for -spaces and the coarse Novikov conjecture at infinity
Liang Guo, Zheng Luo, Qin Wang +1
We formulate and prove a Bott periodicity theorem for an -space (). For a proper metric space with bounded geometry, we introduce a version of -homol…
math.OA2021
K-theory of the maximal and reduced Roe algebras of metric spaces with A-by-CE coarse fibrations
Liang Guo, Zheng Luo, Qin Wang +1
Let be a discrete metric space with bounded geometry. We show that if admits an "A-by-CE coarse fibration", then the canonical quotient map fro…