We　propose　a　scheme　for　the　generation　of　an　arbitrary　quantum　states　for　multiple　trapped　ions　in　the　symmetric　Dicke　subspace.　One　can　manipulate　the　collective　ion　transition　in　a　selective　symmetric　Dicke　subspace　via　the　virtual　excitation　induced　inequidistant　energy　levels.　All　the　states　undergo　the　same　phonon-number-dependent　Stark　shift　and　thus　the　scheme　is　insensitive　to　the　thermal　motion.　Furthermore,　the　scheme　does　not　require　individual　addressing　of　the　ions.　©　2009　EDP　Sciences,　SIF,　Springer-Verlag　Berlin　Heidelberg.