  We prove the stable ergodicity of an example of a volume-preserving,
partially hyperbolic diffeomorphism introduced by Pierre Berger and Pablo
Carrasco. This example is robustly non-uniformly hyperbolic, with two
dimensional center, almost every point has both positive and negative Lyapunov
exponents along the center direction and does not admit a dominated splitting
of the center direction. The main novelty of our proof is that we do not use
accessibility.
