An operator (AF-) algebra A_f is assigned to each Anosov diffeomorphism f of
a manifold M. The assignment is a functor on the category of (mapping tori of)
all such diffeomorphisms, which sends continuous maps between the manifolds to
the stable homomorphisms of the corresponding AF-algebras. We use the functor
to prove non-existence of continuous maps between the hyperbolic torus bundles,
an obstruction being the so-called Galois group of algebra A_f.