  Starting from an abelian category A such that every object has only finitely
many subobjects we construct a semisimple tensor category T. We show that T
interpolates the categories Rep(Aut(p),K) where p runs through certain
projective (pro-)objects of A. The main example is A=finite dimensional
F_q-vector spaces. Then T can be considered as the category of representations
of GL(n,F_q) where n is not a natural number. This work extends a construction
of Deligne for symmetric groups.
