4 papers
Warped cones associated to isometric free actions do not have geometric property (T)
Ryo Toyota
Suppose that is a finitely generated group, is a compact Riemannian manifold and is a free and isometric action. We prove that the associated discreti…
The quantitative coarse Baum-Connes conjecture for free products
Jintao Deng, Ryo Toyota
Let and be uniformly locally finite metric spaces. In this paper, we prove the quantitative coarse Baum--Connes conjecture for the free product under the assumption t…
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…
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…