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@article{MZM_2001_70_5_a0, author = {G. G. Amosov and A. V. Bulinski and M. E. Shirokov}, title = {Regular {Semigroups} of {Endomorphisms} of von {Neumann} {Factors}}, journal = {Matemati\v{c}eskie zametki}, pages = {643--659}, publisher = {mathdoc}, volume = {70}, number = {5}, year = {2001}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2001_70_5_a0/} }
TY - JOUR AU - G. G. Amosov AU - A. V. Bulinski AU - M. E. Shirokov TI - Regular Semigroups of Endomorphisms of von Neumann Factors JO - Matematičeskie zametki PY - 2001 SP - 643 EP - 659 VL - 70 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2001_70_5_a0/ LA - ru ID - MZM_2001_70_5_a0 ER -
G. G. Amosov; A. V. Bulinski; M. E. Shirokov. Regular Semigroups of Endomorphisms of von Neumann Factors. Matematičeskie zametki, Tome 70 (2001) no. 5, pp. 643-659. http://geodesic.mathdoc.fr/item/MZM_2001_70_5_a0/
[1] Powers R. T., “Possible classification of continuous spatial semigroups of $*$-endomorfisms of $\mathscr B(\mathscr H)$”, Proceedings of Symposia in Pure Math., 59, 1996, 161–173 | MR | Zbl
[2] Powers R. T., “Recent results concerning $E_0$-semigroup of $\mathscr B(\mathscr H)$”, Operator Algebras and Quantum Field Theory, Proc. of Conf. Dedicated to D. Kastler, eds. S. Doplicher et al., Int. Press, Cambridge (M.A.), 1997, 515–524 | MR | Zbl
[3] Amosov G. G., Bulinskii A. V., “Indeks Pauersa–Arvesona dlya kvazisvobodnykh dinamicheskikh polugrupp”, Matem. zametki, 62:6 (1997), 933–936 | MR | Zbl
[4] Bratteli U., Robinson D., Operatornye algebry i kvantovaya statisticheskaya mekhanika, T. I, Mir, M., 1982 | Zbl
[5] Kadison R., Ringrose J., Fundamentals of the Theory of Operator Algebras, V. I, Acad. Press, London–New York, 1983 ; V. II, Acad. Press, London–New York, 1986 | Zbl | Zbl
[6] Arveson W., “Continuous analogues of Fock space”, Mem. Amer. Math. Soc., 409, 1989, 1–66 | MR
[7] Bhat B. V. R., “An index theory for quantum dynamical semigroup”, Trans. Amer. Math. Soc., 348 (1996), 561–583 | DOI | MR | Zbl
[8] Davies E. B., One-Parameter Semigroups, Acad. Press, London–New York, 1980 | Zbl
[9] Bulinskii A. V., “Algebraicheskie $K$-sistemy i polupotoki sdvigov Pauersa”, UMN, 52:5 (1996), 145–146
[10] Accardi L., Cecchini C., “Conditional expectation in von Neumann algebras and a theorem of Takesaki”, J. Funct. Anal., 45 (1982), 245–273 | DOI | MR | Zbl
[11] Bratteli O., Robinson D., Operator Algebras and Quantum Statistical Mechanics, V. II, Springer-Verlag, New York, 1981 | Zbl
[12] Powers R. T., Stormer E., “Free states of canonical anticommutation relations”, Commun. Math. Phys., 16 (1970), 1–33 | DOI | MR | Zbl
[13] Evans D., “Completely positive quasifree maps on the CAR algebra”, Commun. Math. Phys., 70 (1979), 53–68 | DOI | MR | Zbl
[14] Araki H., “On quasifree states of CAR and Bogoliubov automorphisms”, Publ. RIMS (Kyoto Univ.), 6 (1971), 385–442 | DOI | MR | Zbl
[15] Amosov G. G., “Cocycle perturbation of quasifree algebraic $K$-flow leads to the required asymptotic dynamics of the associated completely positive semigroup”, Infinit. Dimen. Anal. Quant. Prob. Rel. Topics, 2:3 (2000), 237–246 | MR
[16] Murakami T., Yamagami S., “On types of quasifree representations of Clifford algebra”, Publ. RIMS (Kyoto Univ.), 31 (1995), 33–44 | DOI | MR | Zbl