The Langlands conjecture for noncommutative tori

Let $E$ be a finite extension of $\mathbb Q$ with Galois group $Gal~(E|\mathbb Q)$, and let $\sigma_{n+1}:Gal~(E|\mathbb Q)\to GL_{n+1}(\mathbb C)$ be an irreducible representation. Let $L(\sigma_{n+1},s)$ be its Artin $L$-function. Langlands conjecture for noncommutative tori. There exists a $2n$-dimensional noncommutative torus with real multiplication ${\cal A}_{RM}^{2n}$ such that

$$L(\sigma_{n+1},s)\equiv L({\cal A}_{RM}^{2n},s).$$

The conjecture proposes that Artin $L$-functions arise from noncommutative tori; the source notes that the corresponding conjectural framework is related to the functor from number fields to noncommutative tori but gives no resolution.