  We use a groupoid model for the spin algebra to introduce boundary conditions
on quantum spin systems via a Poisson point process representation. We can
describe KMS states of quantum systems by means of a set of equations
resembling the standard DLR equations of classical statistical mechanics. We
introduce a notion of quantum specification which recovers the classical DLR
measures in the particular case of classical interactions. Our results are in
the same direction as those obtained recently by Cha, Naaijkens, and
Nachtergaele, differently somehow from the predicted by Fannes and Werner.
