  Let N_0 \subset N_1 a depth 2, finite index inclusion of type II1 factors and
N_0 \subset N_1 \subset N_2 \subset N_3 ... the corresponding Jones tower.
  D. Nikshych et L. Vainerman built dual structures of quantum C*-groupoid on
the relative commutants N'_0 \cap N_2 et N'_1 \cap N_3. Here I define a new
duality which allows a symetric construction without changing the involution.
So the Temperley-Lieb algebras are selfdual quantum C*-groupoids and the
quantum C*-groupoids associated to a finite depth finite index inclusion can be
choosen selfdual.
  I show that every finite-dimensional connexe quantum C*-groupoid acts outerly
on the type II1 hyperfinite factor. In the light of this particular case, I
propose a deformation of any finite quantum C*-groupoid to an regular finite
quantum C*-groupoid.
  In the appendix, a new construction of the factors on which two dual regular
finite quantum C*-groupoids act is given. The finite quantum C*-groupoids
obtained from the built tower are isomorphic to the initial ones.
