  In this paper, we will follow Kirchberg's categorical perspective to
establish new notions of WEP and QWEP relative to a C$^*$-algebra, and develop
similar properties as in the classical WEP and QWEP. Also we will show some
examples of relative WEP and QWEP to illustrate the relations with the
classical cases. Finally we will apply our notions to recent results on
C$^*$-norms.

Operator Algebras