Local automorphisms and derivations on certain $C^*$-algebras
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- by Sang Og Kim and Ju Seon Kim PDF
- Proc. Amer. Math. Soc. 133 (2005), 3303-3307 Request permission
Abstract:
It is shown that continuous $2$-local derivations on $\operatorname {AF}$ $C^*$-algebras are derivations and surjective $2$-local *-automorphisms on prime $C^*$-algebras or on $C^*$-algebras such that the identity element is properly infinite are *-automorphisms.References
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Additional Information
- Sang Og Kim
- Affiliation: Department of Mathematics, Hallym University, Chuncheon 200-702, Korea
- Email: sokim@hallym.ac.kr
- Ju Seon Kim
- Affiliation: Department of Mathematics Education, Seoul National University, Seoul, 151-742, Korea
- Received by editor(s): June 16, 2004
- Published electronically: June 20, 2005
- Additional Notes: This work was supported by a Research Grant from Hallym University, Korea
- Communicated by: David R. Larson
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 3303-3307
- MSC (2000): Primary 47B49, 47L30
- DOI: https://doi.org/10.1090/S0002-9939-05-08059-7
- MathSciNet review: 2161153