The Zappa-Szép product of a Fell bundle and a groupoid

We define the Zappa-Szép product of a Fell bundle by groupoid, which turns out to be over underlying groupoids. Under certain assumptions, every groupoids arises in this manner. then study representation associated with and show its relation covariant representations. Finally, we universal C⁎-algebra, C⁎-blend, generalizing an earlier result about groupoid C⁎-algebras. In case discrete groups, C⁎-algebra embeds injectively inside bundle.