Necessary and sufficient conditions for all the derivations of a finite dimensional simple nonassociative algebra, over a field of characteristic zero, to be inner are given in terms of the Lie multiplication algebra and the trace of the derivations. 1994 Academic Press, Inc.
✦ LIBER ✦
Derivations of simple C∗-algebras
✍ Scribed by Shôichirô Sakai
- Publisher
- Elsevier Science
- Year
- 1968
- Tongue
- English
- Weight
- 235 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
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We prove the following two improvements of a result of BECKER. (1) If A is a pro-C\*-algebra, then every derivation on A is approximately inner. (2) If A is a separable a-C\*-algebra, and ifevery C\* quotient of A has the property that every derivation on it is inner, then also every derivation on A
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