Friedlander's generalized isomorphism conjecture

Let $G$ be an algebraic group over an algebraically closed field $k$, and let $n$ be a positive integer such that the characteristic of $k$ does not divide $n$. The simplicial schemes $BG(k)$ and $BG_k$ are related by the natural map

$$BG(k)\longrightarrow BG_k,$$

where $BG(k)$ is regarded as discrete. Friedlander's generalized isomorphism conjecture. This map should induce an isomorphism

$$H^\bullet_{\operatorname{\acute et}}(BG_k,\mathbb Z/n)\longrightarrow H^\bullet(BG(k),\mathbb Z/n)=H^\bullet(G(k),\mathbb Z/n).$$

This compares the cohomology of the algebraic simplicial scheme $BG_k$ with the group cohomology of the discrete group of $k$-points. The paper presents it as Friedlander's conjecture; its resolution status is not specified in the source.