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math.KT2025
Relative higher index theory on quotients of Roe algebras and positive scalar curvature at infinity
Liang Guo, Qin Wang, Chen Zhang
In this paper, we employ quotients of Roe algebras as index containers for elliptic differential operators to study the existence problem of Riemannian metrics with positive scalar…
math.KT2025
The maximal coarse Baum-Connes conjecture for spaces that admit an A-by-FCE coarse fibration structure
Liang Guo, Qin Wang, Chen Zhang
In this paper, we introduce a concept of A-by-FCE coarse fibration structure for metric spaces, which serves as a generalization of the A-by-CE structure for a sequence of group ex…