We show that if is a uniform Roe algebra associated to a bounded geometry metric space , then all bounded derivations on are inner.
Matthew Lorentz. Rufus Willett. "Bounded derivations on uniform Roe algebras." Rocky Mountain J. Math. 50 (5) 1747 - 1758, October 2020. https://doi.org/10.1216/rmj.2020.50.1747