Abstract
It is proved that an ultraweakly continuous completely dissipative operator on a W *-algebra A has a canonical form in terms of a completely positive map and a Hamiltonian provided that the cohomology groups of A with coefficients in a dual normal A-module are zero.
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Lindblad, G. Dissipative operators and cohomology of operator algebras. Lett Math Phys 1, 219–224 (1976). https://doi.org/10.1007/BF00417607
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DOI: https://doi.org/10.1007/BF00417607