Buan–Hanson's conjecture on τ-perpendicular wide subcategories

Let $\Lambda$ be a finite dimensional algebra. Let $\mathsf{W}\subseteq\operatorname{mod}\Lambda$ be a $\tau$-perpendicular subcategory of $\operatorname{mod}\Lambda$, and let $\mathcal{V}\subseteq\mathsf{W}$ be a wide subcategory of $\mathsf{W}$. Buan–Hanson's conjecture. Then $\mathcal{V}$ is a $\tau$-perpendicular subcategory of $\operatorname{mod}\Lambda$ if and only if $\mathcal{V}$ is a $\tau$-perpendicular subcategory of $\mathsf{W}$. The paper proves this conjecture for algebras of the form $\Lambda=R\otimes kQ$, extending the result beyond the previously discussed $\tau$-tilting finite setting; the general assertion for finite dimensional algebras is not established here.