3 papers
math.FA2017
Remarks on strong embeddability for discrete metric spaces and groups
Guoqiang Li, Xianjin Wang
In this paper, we show that the strong embeddability has fibering permanence property and is preserved under the direct limit for the metric space. Moreover, we show the following…
math.FA2016
Warped cones and Haagerup property
Guoqiang Li, Xianjin Wang
In this paper we show that the fibred coarse embeddability of a warped cone implies the Haagerup property of the appropriate group. Moreover, Kazhdan's property (T) of the group im…
math.FA2016
Fibred cofinitely-coarse embeddability of box families and proper isometric affine actions on uniformly convex Banach spaces
Guoqiang Li, Xianjin Wang
In this paper we show that a countable, residually amenable group admits a proper isometric affine action on some uniformly convex Banach space if and only if one (or equivalently,…