Some Classes Classification Of Kadison-Singer Lattices In Matrix Algebras

The paper discusses in four order matrix of generate the Kadison-Singer lat-tices,and given for a class of general a new Kadsin-Singer of Mmn(C) in the matrix algebras.In the second chapter,with the sense of similarity we discussion genration M3(C)(?)C for Kadison-Singer lattices for four order matrix.we haven four genera-tion of the M3(C)(?)C algebra in Kadison-Singer lattices:L1,L2,L3 and L4.And proved generation M3(C)(?)C of Kadison-Singer lattices in similar toL1orL2orL3orL4.The third chapter gives a generation Mmn(C)of Kadison-Singer lattices.