4 papers · 1 filter
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…
Hilbert-Hadamard spaces and the equivariant coarse Novikov conjecture
Liang Guo, Qin Wang, Jianchao Wu +1
The equivariant coarse Novikov conjectures stand among a handful profound -theoretic conjectures in noncommutative geometry. Motivated by the quest to verify Novikov-type conjec…
Twisted Roe algebras and their -theory
Jintao Deng, Liang Guo
In this paper, we introduce a notion of twisted Roe algebra and a twisted coarse Baum-Connes conjecture with coefficients. We will study the basic properties of twisted Roe algebra…
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…