Inner automorphisms of hyperfinite factors and Bogoliubov transformations

A. L. Carey

Annales de l'I.H.P. Physique théorique (1984)

  • Volume: 40, Issue: 2, page 141-149
  • ISSN: 0246-0211

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Carey, A. L.. "Inner automorphisms of hyperfinite factors and Bogoliubov transformations." Annales de l'I.H.P. Physique théorique 40.2 (1984): 141-149. <http://eudml.org/doc/76229>.

@article{Carey1984,
author = {Carey, A. L.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Clifford algebra; implementability of Bogoliubov automorphisms; quasifree state},
language = {eng},
number = {2},
pages = {141-149},
publisher = {Gauthier-Villars},
title = {Inner automorphisms of hyperfinite factors and Bogoliubov transformations},
url = {http://eudml.org/doc/76229},
volume = {40},
year = {1984},
}

TY - JOUR
AU - Carey, A. L.
TI - Inner automorphisms of hyperfinite factors and Bogoliubov transformations
JO - Annales de l'I.H.P. Physique théorique
PY - 1984
PB - Gauthier-Villars
VL - 40
IS - 2
SP - 141
EP - 149
LA - eng
KW - Clifford algebra; implementability of Bogoliubov automorphisms; quasifree state
UR - http://eudml.org/doc/76229
ER -

References

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  1. [1] H. Araki, On quasifree states of CAR and Bogoliubov automorphisms, RIMS, t. 6, 1970-1971, p. 385-442. Zbl0227.46061MR295702
  2. [2] R.J. Blattner, Automorphic group representations, Pac. J. Math., t. 8, 1958, p. 665- 667. Zbl0087.32001MR103421
  3. [3] A.L. Carey and D.M. O'Brien, Automorphisms of the infinite dimensional Clifford algebra and the Atiyah-Singer mod 2 index, Topology, to appear 1983. See also the paper: A.L. Carey, C.A. Hurst and D.M. O'Brien, Automorphisms of the CAR algebra and index theory. J. Func. Anal., t. 48, 1982, p. 360-393. Zbl0498.46051MR715249
  4. [4] P. De La Harpe and R.J. Plymen, Automorphic group representations: a new proof of Blattner's theorem. J. Lond. Math. Soc., t. 19, 1979, p. 509-522. Zbl0451.46042MR540067
  5. [5] R. Herman and M. Takesaki, States and automorphism groups of operator algebras. Commun. Math. Phys., t. 19, 1970, p. 142-160. R.T. Powers and E. Størmer, Free states of the canonical anticommutation relations. Commun. Math. Phys., t. 16, 1970, p. 1-33. K. Kraus and R.F. Streater, Some covariant representations of massless Fermi Fields. J. Physics, t. 14 A, 1981, p. 2467-2478. Zbl0206.13001MR270167
  6. [6] J. Manuceau, F. Rocca and D. Testard, On the product form of quasifree states. Commun. Math. Phys., t. 12, 1969, p. 43-57. E. Balsev, J. Manuceau and A. Verbeure, Representations of anticommunication relations and Bogoliubov transformations'Commun. Math. Phys., t. 8, 1968, p. 315- 326. F. Rocca, M. Sirugue and D. Testard, On a class of equilibrium states under the Kubo-Martin Schwinger boundary condition. Commun. Math. Phys., t. 13, 1969, p. 317-334. MR250583
  7. [7] R.T. Powers, Representations of uniformly hyperfinite algebras and their associated von Neumann rings. Ann. Math., t. 86, 1967, p. 138-171. Zbl0157.20605MR218905
  8. [8] S.N.M. Ruijsenaars, On Bogoliubov transformations II. The General Case. Ann. Phys., t. 116, 1978, p. 105-134. MR516713
  9. [9] D. Shale and W.F. Stinespring, States on the Clifford algebra. Ann. Math., t. 80, 1964, p. 365-381. Spinor representations of infinite orthogonal groups. J. Math. Mech., t. 14, 1965, p. 315-322. Zbl0178.49301MR173163

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