  The Cannon Conjecture for a torsionfree hyperbolic group G with boundary
homeomorphic to S^2 says that G is the fundamental group of an aspherical
closed 3-manifold M. It is known that then M is a hyperbolic 3-manifold. We
prove the stable version that for any closed manifold N of dimension greater or
equal to 2 there exists a closed manifold M together with a simple homotopy
equivalence from M to the cartesian product of N and BG. If N is aspherical and
pi_1(N) satisfies the Farrell-Jones Conjecture, then M is unique up to
homeomorphism.
