Abstract
We extend a characterisation by Lindblad of complete normal dissipations on hyperfinite von Neumann algebras to general semifinite von Neumann algebras.
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Christensen, E.: Extensions of derivations (to appear)
Johnson, B.E., Ringrose, J. R.: Derivations of operator algebras and discrete group algebras. Bull. London Math. Soc.1, 70–74 (1969)
Kishimoto, A.: Dissipations and derivations. Commun. math. Phys.47, 25–32 (1976)
Lindblad, G.: On the generators of quantum dynamical semigroups. Commun. math. Phys.48, 119–130 (1976)
Lindblad, G.: Dissipative operators and cohomology of operator algebras. Letters Math. Phys.1, 219–224 (1976)
Paschke, W.L.: Inner product modules overB*-algebras. Trans. Am. Math. Soc.182, 443–468 (1973)
Ringrose, J. R.: Automatic continuity of derivations of operator algebras. J. London Math. Soc.5, 432–438 (1972)
Ringrose, J. R.: Cohomology of operators algebras. Lectures on operator algebras. Lecture notes in mathematics, Vol. 247, Berlin-Heidelberg-New York: Springer 1972
Sakai, S.:C*-algebras andW*-algebras. Berlin-Heidelberg-New York: Springer 1971
Stinespring, S.: Positive functions onC*-algebras. Proc. Am. Math. Soc.6, 211–216 (1955)
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Communicated by H. Araki
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Thompson, C.W. Dissipations on von Neumann algebras. Commun.Math. Phys. 62, 71–78 (1978). https://doi.org/10.1007/BF01940331
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DOI: https://doi.org/10.1007/BF01940331