Let $G$ be an amenable group. I wonder whether it is true that the reduced group $C^\*$-algebra $C\_r^\*(G)$ is quasidiagonal.



Is the reduced group $C^*$-algebra quasidiagonal
This is true for countable discrete groups by the celebrated Quasidiagonality Theorem of Tikuisis-White-Winter (Quasidiagonality of nuclear C∗-algebras. Ann. of Math. (2) 185 (2017), no. 1, 229–284.)


