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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,…