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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…
math.FA2024
A nonstanadard analysis approach to limit operators and Fredholmness in Roe-like algebras
Liang Guo, Jin Qian, Qin Wang
Let be a uniformly locally finite metric space, and an operator in the uniform Roe algebra (or uniform quasi-local algebra ). In this paper, we…