Abstract
This article generalizes the work of Ballmann and Światkowski to the case of Reflexive Banach spaces and uniformly convex Busemann spaces, thus giving a new fixed point criterion for groups acting on simplicial complexes.
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Acknowledgments
I would like to thank Uri Bader for many discussions about property (T) and fixed point properties and for communicating the work of Nowak which motivated this article.
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Oppenheim, I. Fixed point theorem for reflexive Banach spaces and uniformly convex non positively curved metric spaces. Math. Z. 278, 649–661 (2014). https://doi.org/10.1007/s00209-014-1329-z
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DOI: https://doi.org/10.1007/s00209-014-1329-z