Hypercomplete étale framed motives and comparison of stable homotopy groups of motivic spectra and étale realizations over a field

Andrei Druzhinin, Ola Sande

For any base field and integer $l$ invertible in $k$, we prove that ${\Omega }_{{\mathbb{G}}_m}^{\infty }$ and ${\Omega }_{{\mathbb{P}}^1}^{\infty }$ commute with hyper étale sheafification $L_{\acute{e}t}$…