ABSTRACT
Any *-representation n of A is the direct sum of a nondegenerate representation n1 and a trivial representation n2 ;
(26.6) DEFINITION. Let n be a *-representation of a *-atgebra A on a Hitbert space H. If K is a closed invariant subspace of H, then the mapping x ~ n(x) IK (n(x) restricted to K) defines a *-representation of A with space K. This representation, denoted TIK' is catted the subrepresentation £[ IT acting on K.
