  We equip the category of vector bundles over the vertices of a locally finite
$\tilde{A}_{n-1}$ building $\Delta$ with the structure of a module category
over a category of type $A_{n}$ webs in positive characteristic. This module
category is a $q$-analogue of the $Rep(SL_{n})$ action on vector bundles over
the $sl_n$ weight lattice. We show our module categories are equivariant with
respect to symmetries of the building, and when a group $G$ acts simply
transitively on the vertices of $\Delta$ this recovers the fiber functors
constructed by Jones.
