  We provide a complete description of the equilibrium fluctuations for
diffusive symmetric exclusion processes with long jumps in contact with
infinitely extended reservoirs and prove that they behave as generalized
Ornstein-Uhlenbeck processes with various boundary conditions, depending mainly
on the strength of the reservoirs. On the way, we also give a general statement
about uniqueness of the Ornstein-Uhlenbeck process originated by the
microscopic dynamics of the underlying interacting particle systems and adapt
it to our study.
