A general theorem on local parts of hidden variable models
  We extend to any maximally entangled state of a bipartite system whose constituents are arbitrarily (but finite) dimensional the result, recently derived for two-dimensional constituents, that hidden variable theories cannot have local parts, i.e., that their local averages cannot differ from the quantum mechanical ones. 
GianCarlo Ghirardi, Raffaele Romano
quant-ph