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Quasi-free states and automorphisms of the CCR-algebra. (English) Zbl 0338.46050

MSC:
46L05 General theory of \(C^*\)-algebras
47C10 Linear operators in \({}^*\)-algebras
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[1] Guichardet, A.: Symmetric Hilbert spaces and related topics. Lecture Notes in Mathematics 261. Berlin-Heidelberg-New York: Springer 1972 · Zbl 0265.43008
[2] Hugenholtz, N.M., Kadison, R.V.: Automorphisms and quasi-free states of the CAR algebra. Commun. math. Phys.43, 181–197 (1975) · Zbl 0308.46055
[3] Manuceau, J.:C*-algèbre de relations de commutation. Ann. Inst. H. PoincaréVIII, 139–161 (1968) · Zbl 0173.29902
[4] Manuceau, J., Sirugue, M., Testard, D., Verbeure, A.: The smallestC*-algebra for canonical commutation relations. Commun. math. Phys.32, 231–243 (1973) · Zbl 0284.46039
[5] Manuceau, J., Verbeure, A.: Quasi-free states of the CCR algebra and Bogoliubov transformations. Commun. math. Phys.9, 293–302 (1968) · Zbl 0167.55902
[6] Wolfe, J.: Free states and automorphisms of the Clifford algebra. Commun. math. Phys.45, 53–58 (1975) · Zbl 0344.46115
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