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Disjointness of the KMS-states of different temperatures

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Disjointness of (KMS)-states of different temperatures is proved.

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References

  1. Araki, H.: Multiple time analyticity of a quantum statistical state satisfying the KMS boundary condition. To appear.

  2. -- Miyata, H.: On KMS boundary condition. To appear.

  3. Dixmier, J.: Les algèbres d'opérateurs dans l'espace hilbertien. Paris: Gauthier-Villars 2é edition 1969.

    Google Scholar 

  4. Haag, R., Hugenholtz, N. M., Winnink, M.: On the equilibrium states in quantum statistical mechanics. Commun. Math. Phys.5, 215–236 (1967).

    Google Scholar 

  5. Hugenholtz, N. M., Takesaki, M., Winnink, M.: Local normality of the KMS-states in quantum statistical mechanics. In preparation.

  6. —— Wieringa, J. D.: On locally normal states in quantum statistical mechanics. Commun. Math. Phys.11, 183–197 (1969).

    Google Scholar 

  7. Kastler, D., Pool, J. C. T., Thue Poulsen, E.: Quasi-unitary algebras attached to temperature states in statistical mechanics — a comment on the work of Haag, Hugenholtz and Winnink. Commun. Math. Phys.12, 175–192 (1969).

    Google Scholar 

  8. Phelps, R.: Lectures on Choquet's theorem. Princeton: von Nostrand 1966.

    Google Scholar 

  9. Takesaki, M.: Tomita's theory of modular Hilbert algebras and its applications. To appear.

  10. Tomita, M.: Standard forms of von Neumann algebras. The Vth Functional Analysis Symposium of the Math. Soc. of Japan, Sendai, 1967.

  11. Winnink, M.: Algebraic aspects of the Kubo-Martin-Schwinger condition. Cargèse Lecture Notes, 1969.

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Takesaki, M. Disjointness of the KMS-states of different temperatures. Commun.Math. Phys. 17, 33–41 (1970). https://doi.org/10.1007/BF01649582

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