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Geometrical state theory, the von neumann boundary, and duality of thec-algebras

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Literature cited

  1. R. Kadison, “Isometries of operator algebras,” Ann. Math.,54, 325 (1951).

    Google Scholar 

  2. E. Stomer, “On the Jordan structure of the C*-algebras,” Trans. Amer. Soc.,120, No. 3, 438–447 (1965).

    Google Scholar 

  3. J. Dizmier, Les C*-Algebras et Leurs Representation, Gauthier-Villers, Paris (1964).

    Google Scholar 

  4. R. Kadison, “States and representations,” Trans. Amer. Math. Soc.,103, 304–319 (1962).

    Google Scholar 

  5. E. Effros, “Structure in simplex III,” Trans. Amer. Math. Soc.,149, 355 (1969).

    Google Scholar 

  6. E. Alfsen, “Compact convex sets and boundary integrals,” in: Ergibnisse der Mathematik, Vol. 57, Springer, Berlin-Heidelberg-New York (1971).

    Google Scholar 

  7. J. Glimm and R. Kadison, “Unitary operators in C*-algebras,” Pacific J. Math.,10, 547–556 (1960).

    Google Scholar 

  8. G. Mackey, “Borel structure in groups and their duals,” Trans. Amer. Math. Soc.,85, 134–165 (1957).

    Google Scholar 

  9. G. Glimm, “Type I C*-algebras,” Ann. Math.,73, 572–612 (1961).

    Google Scholar 

  10. S. Sakai, “On the Stone-Weierstrass theorem of C*-algebras,” Tohoku Math. J.,22, 191–195 (1970).

    Google Scholar 

  11. A. Vershik, “Immeasurable decompositions of trajectory theory; operator algebras,” Dokl. Akad. Nauk SSSR,199, No. 5, 1002–1004 (1971).

    Google Scholar 

  12. R. Powers, “Representation of uniformly hyperfinite algebras and their associated von Neumann rings,” Ann. Math.,86, No. 1, 138–171 (1967).

    Google Scholar 

  13. R. R. Phelps, Lectures on Choquet's Theorem, Van Nostrand, Princeton, N. J. (1966).

    Google Scholar 

  14. W. Wils, “Desintegration centrale dans une partie convexe compacte d'une espace local convexe,” Compt. Rend.,269, 702–704 (1969).

    Google Scholar 

  15. S. Sakai, “On the central decomposition for positive functionals on C*-algebras,” Trans. Amer. Math. Soc.,118, No. 6, 406–419 (1965).

    Google Scholar 

  16. M. Takesaki, “Duality and von Neumann algebras,” Bull. Amer. Math. Soc.,76, 553–557 (1971).

    Google Scholar 

  17. M. E. Walter, “Group duality and isomorphism of Fourier and Fourier-Stieltjes algebras from a W*-algebra point of view,” Bull. Amer. Math. Soc.,76, 1321–1325 (1970).

    Google Scholar 

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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 29, pp. 147–154, 1972.

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Vershik, A.M. Geometrical state theory, the von neumann boundary, and duality of thec-algebras. J Math Sci 3, 840–845 (1975). https://doi.org/10.1007/BF01090295

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