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Compact Lie groups associated with endomorphisms of $C^*$-algebras


Authors: Sergio Doplicher and John E. Roberts
Journal: Bull. Amer. Math. Soc. 11 (1984), 333-338
MSC (1980): Primary 46L05, 46L40, 46L60; Secondary 43A40
DOI: https://doi.org/10.1090/S0273-0979-1984-15296-0
MathSciNet review: 752792
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  • 1. S. Doplicher, R. Haag and J. E. Roberts, Fields, observables and gauge transformations. I, Comm. Math. Phys. 13 (1969), 1-23. MR 258394
  • 2. S. Doplicher and J. E. Roberts, Fields, statistics and non-abelian gauge groups, Comm. Math. Phys. 28 (1972), 331-348. MR 325053
  • 3. S. Doplicher, R. Haag and J. E. Roberts, Local observables and particle statistics. I, II, Comm. Math. Phys. 23 (1971), 199-230; ibid. 35 (1974), 49-85. MR 297259
  • 4. J. Cuntz, Simple C*-algebras generated by isometries, Comm. Math. Phys. 57 (1977), 173-185. MR 467330
  • 5. Joachim Cuntz, 𝐾-theory for certain 𝐶*-algebras. II, J. Operator Theory 5 (1981), no. 1, 101–108. MR 613050
  • 6. J. E. Roberts, Cross products of von Neumann algebras by group duals, Sympos. Math. 20 (1976), 335-363. MR 473859
  • 7. Sergio Doplicher and John E. Roberts, A remark on compact automorphism groups of 𝐶*-algebras, J. Funct. Anal. 66 (1986), no. 1, 67–72. MR 829377, https://doi.org/10.1016/0022-1236(86)90081-9
  • 8. Detlev Buchholz and Klaus Fredenhagen, Locality and the structure of particle states, Comm. Math. Phys. 84 (1982), no. 1, 1–54 (English, with Russian summary). MR 660538

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DOI: https://doi.org/10.1090/S0273-0979-1984-15296-0

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