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Title:
A new cubulation theorem for hyperbolic groups
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Abstract:
We prove that if a hyperbolic group $G$ acts cocompactly on a CAT(0) cube complexes and the cell stabilizers are quasiconvex and virtually special, then $G$ is virtually special. This generalizes Agol's Theorem (the case when the action is proper) and Wise's Quasiconvex Hierarchy Theorem (the case when the cube complex is a tree). This is joint work in preparation with Jason Manning.
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