Stone’s theorem and spectral subspaces of automorphisms
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- by Erling Størmer PDF
- Proc. Amer. Math. Soc. 70 (1978), 18-20 Request permission
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
- William Arveson, On groups of automorphisms of operator algebras, J. Functional Analysis 15 (1974), 217–243. MR 0348518, DOI 10.1016/0022-1236(74)90034-2
- H. J. Borchers, Über Ableitungen von $C^{\ast }$-Algebren, Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. II (1973), 19–35 (German). MR 353001
- Alain Connes, Une classification des facteurs de type $\textrm {III}$, Ann. Sci. École Norm. Sup. (4) 6 (1973), 133–252 (French). MR 341115, DOI 10.24033/asens.1247
Additional Information
- © Copyright 1978 American Mathematical Society
- 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