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Constraints imposed upon a state of a system that satisfies the K.M.S. boundary condition

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Abstract

Using the uniqueness of the K.M.S. automorphism, we investigate the set of automorphisms that commutes with it. The results are applied to gauge invariant quasi-free states of a fermion system.

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References

  1. Haag, R., Hugenholtz, N. M., Winnink, M.: Commun. Math. Phys.5, 215 (1967).

    Google Scholar 

  2. Winnink, M.: Cargèse lectures 1969, Vol. 4. Gordon and Breach. Editor D. Kastler.

    Google Scholar 

  3. —— Thesis Groningen 1968.

  4. Takesaki, M.: Tomita's theory of modular Hilbert algebras and its applications. Berlin-Heidelberg-New York: Springer 1970.

    Google Scholar 

  5. Balslev, E., Manuceau, J., Verbeure, A.: Commun. Math. Phys.8, 315 (1968).

    Google Scholar 

  6. Manuceau, J., Rocca, F., Testard, D.: Commun. Math. Phys.12, 43 (1969).

    Google Scholar 

  7. Powers, R. T.: Thesis, Princeton (1967) Chapter 3.1.

  8. Glimm, J.: Trans. Am. Math. Soc.95, 318 (1960), Lemma 1.2.

    Google Scholar 

  9. Rocca, F., Sirugue, M., Testard, D.: Commun. Math. Phys.13, 317 (1969).

    Google Scholar 

  10. Schwartz, L.: Théorie des distributions. Paris: Hermann 1966.

    Google Scholar 

  11. Haag, R., Kadison, R. V., Kastler, D.: Commun. Math. Phys.16, 81 (1970).

    Google Scholar 

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Attaché de Recherche, C.N.R.S.

On leave of absence from the Groningen University, the Netherlands.

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Sirugue, M., Winnink, M. Constraints imposed upon a state of a system that satisfies the K.M.S. boundary condition. Commun.Math. Phys. 19, 161–168 (1970). https://doi.org/10.1007/BF01646632

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  • DOI: https://doi.org/10.1007/BF01646632

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