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Borchers, H. J.

C*-algebras and automorphism groups. (English) Zbl 0524.46047

Commun. Math. Phys. 88, 95-103 (1983).
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Cited in 9 Documents

MSC:

46L55 Noncommutative dynamical systems
46L40 Automorphisms of selfadjoint operator algebras

Keywords:

C*-dynamical system; quasi-equivalent representation; covariant representation; strongly continuous

Citations:

Zbl 0515.00016
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Full Text: DOI

References:

[1] Araki, H.: Some properties of modular conjugation operator of a von Neumann algebra and a non-commutative Radon-Nikodym theorem with a chain rule. Pac. J. Math.50, 309-354 (1974) · Zbl 0287.46074
[2] Araki, H.: Introduction to relative Hamiltonian and relative entropy. Preprint, Marseille (1975)
[3] Borchers, H.J.: On the implementability of automorphism groups. commun. Math. Phys.14, 305-314 (1969) · Zbl 0182.17803 · doi:10.1007/BF01645386
[4] Borchers, H.J.: ?berC*-Algebren mit lokalkompakten Symmetriegruppen. Nachr. d. Akad. d. Wissensch. in G?ttingen, Heft1, 1-18 (1973)
[5] Bratteli, O., Robinson, D.W.: Operator algebras and quantum statistical mechanics. I. Berlin, Heidelberg, New York: Springer 1979 · Zbl 0421.46048
[6] Connes, A.: Sur le th?or?me de Radon Nikodym pour le poids normaux fid?les semifinis. Bull. Sci. Math. 2?me S?r.97, 253-258 (1973)
[7] Connes, A.: Caract?risation des alg?bres de von Neumann comme espaces vectoriels ordon?s. Ann. Inst. Fourier26, 121-155 (1974) · Zbl 0287.46078
[8] Doplicher, S., Kastler, D., Robinson, D.W.: Covariance algebras in field theory and statistical mechanics. Commun. Math. Phys.3, 1-28 (1966) · Zbl 0152.23803 · doi:10.1007/BF01645459
[9] Effros, E.G.: Order ideas inC*-algebra and its dual. Duke Math. J.30, 391-412 (1963) · Zbl 0117.09703 · doi:10.1215/S0012-7094-63-03042-4
[10] Haagerup, U.: The standard form of von Neumann algebra. Math. Scand.37, 271-283 (1975) · Zbl 0304.46044
[11] Pedersen, G. K.:C-algebras and their automorphism groups. London, New York, San Francisco: Academic Press 1979 · Zbl 0416.46043
[12] Takesaki, M.: Tomita’s theory of modular Hilbert algebras and its applications. In: Lecture Notes in Mathematics, Vol. 128. Berlin, Heidelberg, New York: Springer 1970 · Zbl 0193.42502
[13] Tomita, M.: Spectral theory of operator algebras. I. Math. J. Okayama Univ.9, 63-98 (1959) · Zbl 0204.14605
[14] Tomita, M.: Quasi-standard von Neumann algebras. Mimeographed notes (1967)
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