Free wreath product by the quantum permutation group

Let A be a compact quantum group, let n is an element of N* and let A(aut)(X-n) be the quantum permutation group on n letters. A free wreath product construction A *w A(aut)(X-n) is introduced. This construction provides new examples of quantum groups, and is useful to describe the quantum automorphism group of the n-times disjoint union of a finite connected graph.