Local automorphisms and derivations on 𝕄_{𝕟}

Kim, Sang; Kim, Ju

doi:10.1090/S0002-9939-03-07171-5

Local automorphisms and derivations on $\mathbb {M}_n$
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by Sang Og Kim and Ju Seon Kim PDF

Proc. Amer. Math. Soc. 132 (2004), 1389-1392 Request permission

Abstract:

The aim of this note is to give a short proof that 2-local derivations on $M_n$, the $n\times n$ matrix algebra over the complex numbers are derivations and to give a shorter proof that 2-local *-automorphisms on $M_n$ are *-automorphisms.

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