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Derivations from subalgebras of separable \(C^ *\)-algebras. (English) Zbl 0601.46057

Let A be a separable \(C^*\)-algebra. Necessary and sufficient conditions are presented for A to have the property that all derivations defined on subalgebras of A and taking values in A are inner in the multiplier algebra of A.
Reviewer: E.Azoff

MSC:

46L05 General theory of \(C^*\)-algebras
47B47 Commutators, derivations, elementary operators, etc.
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