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Stone's theorem and spectral subspaces of automorphisms


Author: Erling Størmer
Journal: Proc. Amer. Math. Soc. 70 (1978), 18-20
MSC: Primary 46L10; Secondary 22D25
DOI: https://doi.org/10.1090/S0002-9939-1978-0467342-3
MathSciNet review: 0467342
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Abstract: It is shown that spectral subspaces of automorphisms of a von Neumann algebra can be defined by use of Stone's theorem on unitary representations.


References [Enhancements On Off] (What's this?)

  • [1] W. Arveson, On groups of automorphisms of operator algebras, J. Functional Analysis 15 (1974), 217-243. MR 0348518 (50:1016)
  • [2] H. J. Borchers, Über Ableitungen von $ {C^ \ast }$-algebren, Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. II 2 (1973). MR 0353001 (50:5487)
  • [3] A. Connes, Une classification des facteurs de type III, Ann. Sci. École Norm. Sup. 6 (1973), 133-252. MR 0341115 (49:5865)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1978-0467342-3
Article copyright: © Copyright 1978 American Mathematical Society

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