Ideal preserving automorphisms of postliminary $C^ \ast$-algebras
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- by George A. Elliott
- Proc. Amer. Math. Soc. 27 (1971), 107-109
- DOI: https://doi.org/10.1090/S0002-9939-1971-0268686-4
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Abstract:
E. C. Lance has shown that an automorphism of a separable postliminary ${C^ \ast }$-algebra which preserves closed two-sided ideals is universally weakly inner. This note extends Lance’s result to the nonseparable case.References
- Jacques Dixmier, Les $C^{\ast }$-algèbres et leurs représentations, Cahiers Scientifiques, Fasc. XXIX, Gauthier-Villars & Cie, Éditeur-Imprimeur, Paris, 1964 (French). MR 0171173
- Richard V. Kadison and John R. Ringrose, Derivations and automorphisms of operator algebras, Comm. Math. Phys. 4 (1967), 32–63. MR 206735, DOI 10.1007/BF01645176
- E. C. Lance, Automorphisms of postliminal $C^{\ast }$-algebras, Pacific J. Math. 23 (1967), 547–555. MR 220066, DOI 10.2140/pjm.1967.23.547
Bibliographic Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 27 (1971), 107-109
- MSC: Primary 46.65
- DOI: https://doi.org/10.1090/S0002-9939-1971-0268686-4
- MathSciNet review: 0268686