On growth of cocycles of isometric representations on $L^p$-spaces
On growth of cocycles of isometric representations on $L^p$-spaces
We study different notions of asymptotic growth for 1-cocycles of isometric representations on Banach spaces. One can see this as a way of quantifying the absence of fixed point properties on such spaces. Inspired by the work of Lafforgue, we show the following dichotomy: for a compactly generated group $G$, …