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Warped cones and Haagerup property

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arxiv 1612.03686 v2 pith:3RKUNRWZ submitted 2016-12-12 math.FA

classification math.FA
keywords propertywarpedconegrouphaagerupimpliesappropriatecoarse
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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 implies geometric property (T) of the warped cone.

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