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Warped cones associated to isometric free actions do not have geometric property (T)

arXiv.org
Warped cones associated to isometric free actions do not have geometric property (T)
Suppose that $G$ is a finitely generated group, $M$ is a compact Riemannian manifold and $G\curvearrowright M$ is a free and isometric action. We prove that the associated discretized warped cone does not have geometric property (T).

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