• Corpus ID: 245144985

Banach Zuk's criterion for partite complexes with application to random groups

@inproceedings{Oppenheim2021BanachZC,
  title={Banach Zuk's criterion for partite complexes with application to random groups},
  author={Izhar Oppenheim},
  year={2021}
}
We prove a Banach version of Żuk’s criterion for groups acting on partite simplicial complexes. Using this new criterion we derive a new fixed point theorem for random groups in the Gromov density model with respect to several classes of Banach spaces (L spaces, Hilbertian spaces, uniformly curved spaces). In particular, we show that for every p, a group in the Gromov density model has asymptotically almost surely property (FL) and give a sharp lower bound for the growth of the conformal… 

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