The $p$-approximation property for simple Lie groups with finite center

Ignacio Vergara

We prove that, for any $1<p<\infty$, the groups $\text{SL}(3,\mathbb{R})$ and $\text{Sp}(2,\mathbb{R})$ do not have the $p$-approximation property of An, Lee and Ruan, which impl…