A note on holonomy of gerbes over orbifolds

In this paper, we generalize the construction of the inverse transgression map done by Adem, A., Ruan, Y. and Zhang, B. in A stringy product on twisted orbifold K-theory. Morfismos, 11, 33–64 (2007)] and give a different proof to the statement that the image of the inverse transgression map for a gerbe with connection over an orbifold is an inner local system on its inertia orbifold.