摘要

We consider derivations in 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 central. We also provide an example of a C*-algebra which has an outer derivation implemented by an elementary operator.

  • 出版日期2010-6