sentences:  There is also an analog of Schröder–Bernstein for representations of C*-algebras.If "A" is a C*-algebra, a representation of "A" is a *-homomorphism "φ" from "A" into "L"("H"), the bounded operators on some Hilbert space "H".If there exists a projection "P" in "L"("H") where "P" "φ"("a") = "φ"("a") "P" for every "a" in "A", then a subrepresentation "σ" of "φ" can be defined in a natural way