  We consider a partially hyperbolic C1-diffeomorphism f on a smooth compact
manifold M with a uniformly compact f-invariant center foliation. We show that
if the unstable bundle is one-dimensional and oriented, then the holonomy of
the center foliation vanishes everywhere, the quotient space of the center
foliation is a torus and f induces a hyperbolic automorphism on it, in
particular, f is centrally transitive. We actually obtain further interesting
results without restrictions on the unstable, stable and center dimension: we
prove a kind of spectral decomposition for the chain recurrent set of the
quotient dynamics, and we establish the existence of a holonomy invariant
family of measures on the unstable leaves (Margulis measure).
