Derivations of subhomogeneous 𝐶*-algebras are implemented by local multipliers

Gogić, Ilja

doi:10.1090/S0002-9939-2013-11762-4

Derivations of subhomogeneous $C^*$-algebras are implemented by local multipliers
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Proc. Amer. Math. Soc. 141 (2013), 3925-3928 Request permission

Abstract:

Let $A$ be a subhomogeneous $C^*$-algebra. Then $A$ contains an essential closed ideal $J$ with the property that for every derivation $\delta$ of $A$ there exists a multiplier $a \in M(J)$ such that $\delta =\mathrm {ad}(a)$ and $\|\delta \|=2\|a\|$.

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