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Compact Abelian groups of automorphisms of simple \(C^*\)-algebras. (English) Zbl 0348.46049


MSC:

46L05 General theory of \(C^*\)-algebras
47D03 Groups and semigroups of linear operators
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References:

[1] Akemann, C.A., Pedersen, G.K., Tomiyama, J.: Multipliers ofC *-algebras. J. Func. Anal.13, 277–301 (1973) · Zbl 0258.46052 · doi:10.1016/0022-1236(73)90036-0
[2] Bratteli, O.: Inductive limits of finite dimensionalC *-algebras. Trans. Amer. Math. Soc.171, 195–234 (1972) · Zbl 0264.46057
[3] Connes, A.: Une classification des facteurs de type III. Ann. Sci. Ecole Norm. Sup.6, 133–252 (1973) · Zbl 0274.46050
[4] Connes, A.: Periodic automorphism of the hyperfinite factor of type II1. Queen’s Univ. Preprint No 1974-25
[5] Dixmier, J.: LesC *-algèbres et leurs représentations. Paris: Gauthier-Villars 1964
[6] Doplicher, S., Powers, R.T.: On the simplicity of the even CAR-algebra and the free field model. Commun. Math. Phys.7, 77–79 (1968) · Zbl 0173.29804 · doi:10.1007/BF01651219
[7] Kishimoto, A., Takai, H.: On the invariant {\(\Gamma\)}({\(\alpha\)}) inC *-dynamical systems. Preprint · Zbl 0392.46045
[8] Olesen, D.: Inner *-automorphisms of simpleC *-algebras. Commun. Math. Phys.44, 175–190 (1975) · Zbl 0323.46061 · doi:10.1007/BF01608830
[9] Olesen, D., Pedersen, G.K., Størmer, E.: Periodic automorphisms of simpleC *-algebras. Preprint · Zbl 0348.46049
[10] Størmer, E.: The even CAR-algebra. Commun. Math. Phys.16, 136–137 (1970) · Zbl 0187.38503 · doi:10.1007/BF01646618
[11] Størmer, E.: Spectra of ergodic transformations. J. Func. Anal.15, 202–215 (1974) · Zbl 0276.46031 · doi:10.1016/0022-1236(74)90019-6
[12] Størmer, E.: Involutory automorphisms of simpleC *-algebras. Preprint
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