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Generators of semigroups of completely positive maps. (English) Zbl 0389.47022

MSC:
47D03(Semi)groups of linear operators
46L10General theory of von Neumann algebras
References:
[1]Christensen, E.: Perturbations of operator algebras. Inventiones math.43, 1-13 (1977) · Zbl 0366.46050 · doi:10.1007/BF01390201
[2]Christensen, E.: Perturbations of operator algebras. II. Indiana Univ. Math. J.26, 891-904 (1977) · Zbl 0395.46045 · doi:10.1512/iumj.1977.26.26072
[3]Christensen, E.: Extensions of derivations. J. Funct. Anal.27, 234-247 (1978) · Zbl 0367.46059 · doi:10.1016/0022-1236(78)90029-0
[4]Evans, D.E., Lewis, J.T.: Dilations of irreversible evolutions in algebraic quantum theory. Communications of the Dublin Institute for Advanced Study, Series A, No. 24 (1977)
[5]Kadison, R.V., Ringrose, J.R.: Cohomology of operator algebras. II. Extended cobounding and the hyperfinite case. Arkiv Mat.9, 55-63 (1971) · Zbl 0214.38402 · doi:10.1007/BF02383637
[6]Lindblad, G.: On the generators of quantum dynamical semigroups. Commun. math. Phys.48, 119-130 (1976) · Zbl 0343.47031 · doi:10.1007/BF01608499
[7]Lindblad, G.: Dissipative operators and cohomology of operator algebras. Lett. Math. Phys.1, 219-224 (1976) · doi:10.1007/BF00417607
[8]Russo, B., Dye, H.A.: A note on unitary operators inC*-algebras. Duke Math. J.33, 413-416 (1966) · Zbl 0171.11503 · doi:10.1215/S0012-7094-66-03346-1
[9]Schwartz, J.: Two finite, non-hyperfinite, non-isomorphic factors. Comm. Pure Appl. Math.6, 19-26 (1963) · Zbl 0131.33201 · doi:10.1002/cpa.3160160104
[10]Stinespring, W.F.: Positive functions onC*-algebras. Proc. Amer. Math. Soc.6, 211-216 (1955)
[11]Sudarshan, E.C.G., Kossakowski, A., Gorini, V.: Completely positive dynamical semigroups ofN-level systems. J. Math. Phys.17, 821-825 (1976) · doi:10.1063/1.522979