This is an announcement for the paper "A remark on the complex interpolation for families of Banach spaces" by Yanqi Qiu. Abstract: We show by explicit examples that the complex interpolation for families of Banach spaces is not stable under rearrangement of the given family on the boundary, although, by well-known results, it is stable when the latter family takes only 2 values. In our examples, we can even assume that the family takes only 3 values, which is best possible. We also characterize all the transformations on the circle that are invariant for complex interpolation at 0, they are precisely the origin-preserving inner functions. Archive classification: math.FA Remarks: 19 pages Submitted from: yqi.qiu@gmail.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1304.1403 or http://arXiv.org/abs/1304.1403