3 papers
math.OA2026
The twisted coarse Baum--Connes conjecture and relative hyperbolic groups
Jintao Deng, Ryo Toyota
In this paper, we introduce a notion of stable coarse algebras for metric spaces with bounded geometry, and formulate the twisted coarse Baum--Connes conjecture with respect to sta…
math.GR2025
Non-geometric property (T) of warped cones
Jintao Deng, Ryo Toyota
In this paper, we study the geometric property (T) for discretized warped cones of an action on a compact Lie group by its finitely generated subgroup. We show that if a subgro…
math.KT2025
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…