In this paper the notion of a covariant multilinear map from a C*-algebra to another is introduced. Covariant completely bounded symmetric multilinear maps are decomposed into covariant completely bounded and completely positive multilinear maps, and each covariant completely bounded map is covariantly representable in terms of covariant representations and bridging operators. We show that a covariant completely bounded multilinear map extends to a completely bounded multilinear map on the crossed product C*-algebra.
- Completely bounded multilinear maps
- Covariant completely positive multilinear maps
- Representable and covariant representable
- Stinespring’s representation