Show that a C*-subalgebra of an AF algebra need not be AF. HINT: Show that C[0, 1] can be imbedded as a subalgebra of C(X) where X is the Cantor set. Show that a C*-subalgebra of an AF algebra need not be AF. HINT: Show that C[0, 1] can be imbedded as a subalgebra of C(X) where X is the Cantor set