# Derivations which are inner as completely bounded maps - Mathematics > Operator Algebras

Abstract: We consider derivations from the image of the canonical contraction$\theta A$ from the Haagerup tensor product of a C*-algebra A with itself tothe space of completely bounded maps on A. We show that such derivations arenecessarily inner if A is prime or if A is quasicentral with Hausdorffprimitive spectrum. We also provide an example of a C*-algebra which has outerelementary derivations.

Author: Ilja Gogić

Source: https://arxiv.org/