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We present a generalization of the Green-Kubo expressions for thermaltransport coefficients $\mu$ in complex fluids of the generic form, $\mu=\mu_\infty +\int^\infty_0 dt V^{-1} < J_\epsilon \exp(t {\cal L}) J >_0$, i.e.a sum of an instantaneous transport coefficient $\mu_\infty$, and a timeintegral over a time correlation function in a state of thermal equilibriumbetween a current $J$ and a transformed current $J_\epsilon$. The streamingoperator $\exp(t{\cal L})$ generates the trajectory of a dynamical variable$J(t) =\exp(t{\cal L}) J$ when used inside the thermal average $<...>_0$. Theseformulas are valid for conservative, impulsive (hard spheres), stochastic anddissipative forces (Langevin fluids), provided the system approaches a thermalequilibrium state. In general $\mu_\infty \neq 0$ and $J_\epsilon \neq J$,except for the case of conservative forces, where the equality signs apply. Themost important application in the present paper is the hard sphere fluid.Comment: 14 pages, no figures. Version 2: expanded Introduction and section II  specifying the classes of fluids covered by this theory. Some references  added and typos correcte

Generalized Green-Kubo formulas for fluids with impulsive, dissipative, stochastic, and conservative interactions