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Functions and derivations of C∗-algebras

✍ Scribed by Alan McIntosh

Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
506 KB
Volume
30
Category
Article
ISSN
0022-1236

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📜 SIMILAR VOLUMES

Inner Derivations on σ-C*-Algebras
Inner Derivations on σ-C*-Algebras
✍ N. Christopher Phillips 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 266 KB

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

Derivations on LMC*-Algebras
Derivations on LMC*-Algebras
✍ R. Becker 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 531 KB

## Abstract It is shown that derivations on LMC\*‐algebras are always continuous and generate a continuous one‐parameter group of automorphisms. The structure of the derivation and the automorphism group on LMC\*‐algebras is investigated.

Generalized Derivations of Lie Algebras
Generalized Derivations of Lie Algebras
✍ George F. Leger; Eugene M. Luks 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 258 KB

166 leger and luks some applications of the main results to the study of functions f ∈ Hom L L such that f • µ or µ • f ∧ I L defines a Lie multiplication.