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math.KT2025
-theory of ghostly ideals for -coarsely embeddable spaces
Liang Guo, Kang Li, Qin Wang
Ghostly ideals are among the most mysterious objects in coarse index theory. In this paper, we show that if a metric space with bounded geometry admits a coarse embedding into…
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.FA2025
Geometric Banach property (T) for metric spaces via Banach representations of Roe algebras
Liang Guo, Qin Wang
In this paper, we introduce a notion of geometric Banach property (T) for metric spaces, which jointly generalizes Banach property (T) for groups and geometric property (T) for met…