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Local automorphisms and derivations on certain -algebras
Authors:Sang Og Kim  Ju Seon Kim
Institution:Department of Mathematics, Hallym University, Chuncheon 200-702, Korea ; Department of Mathematics Education, Seoul National University, Seoul, 151-742, Korea
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.

Keywords:$2$-local derivation  $2$-local *-automorphism  $\operatorname{AF}$ $C^*$-algebra  prime $C^*$-algebra
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