V. Jaksic, Y. Ogata, C.-A. Pillet
The Green-Kubo formula and the Onsager reciprocity 
relations in quantum statistical mechanics
(205K, pdf)

ABSTRACT.  We study linear response theory in the general framework of algebraic quantum statistical mechanics and prove the Green-Kubo formula and the Onsager reciprocity relations for heat fluxes generated by 
temperature differentials. Our derivation is axiomatic and the key assumptions concern ergodic properties of non-equilibrium steady states.