### Abstract

A graded tensor category over a group $G$ will be called a crossed product tensor category if every homogeneous component has at least one multiplicatively invertible object. Our main result is a description of crossed product tensor categories, graded monoidal functors, monoidal natural transformations, and braidings in terms of coherent outer $G$-actions over tensor categories.

Publication

J. Algebra 337 (2011), 233–252