Algebra of Conserved Generators and Statistical Ensembles in Generalized   Quantum Dynamics
  We study here the algebraic structure of the conserved generators from which the microcanonical and canonical ensembles are constructed on an underlying generalized quantum dynamics, and the flows they induce on the phase space. We also discuss briefly the structure of the microcanonical and canonical ensembles. 
Stephen L. Adler and L.P. Horwitz