I can't understand this sentence i the article of Majid "Tannaka-Krein theorem for quasi-Hopf algebras and other results" about the reconstruction of a quasi-algebra (in fact its dual) from a given braided category (C,c) with a forgetful functor F ; at the end it considers the action of Drinfeld-twisting upon quasi-algebra and says:
if A (quasi-algebra) corresponds to (C,F,c) then A_twisted corresponds to (C,F,c') for a new choice of braiding c'.
i am very disturbed: the associativity constraint is modified too obviously; sorry for my very naive question.