We consider noncommutative principal bundles which are equivariant under a
triangular Hopf algebra. We present explicit examples of infinite dimensional
braided Lie and Hopf algebras of infinitesimal gauge transformations of bundles
on noncommutative spheres. The braiding of these algebras is implemented by the
triangular structure of the symmetry Hopf algebra. We present a systematic
analysis of compatible ∗-structures, encompassing the quasitriangular case.Comment: 36 page