Speaker: Juan Cuadra, University of Almeria. In this talk we will introduce a new family of co-Frobenius Hopf algebras that answers in the negative this question. The results that will be presented are part of a joint work with N. Andruskiewitsch (National University of Cordoba, Argentina) and P. Etingof (Massachusetts Institute of Technology, USA). Arxiv:1206.5934.