%0 Journal Article
%T Derivations which are inner as completely bounded maps
%A Ilja Gogi£¿
%J Mathematics
%D 2009
%I arXiv
%X We consider derivations from the image of the canonical contraction $\theta_A$ from the Haagerup tensor product of a C*-algebra A with itself to the space of completely bounded maps on A. We show that such derivations are necessarily inner if A is prime or if A is quasicentral with Hausdorff primitive spectrum. We also provide an example of a C*-algebra which has outer elementary derivations.
%U http://arxiv.org/abs/0907.1850v3