A theorem on the states on quantum logics. 2

All the states of approximately finite factor (AFF) of type 3 on the logics of projectors are described. By the state in the system of axions in quantum mechanics a non-negative function, given on the projectors of the Neumann algebra with the property of ortho-additivity, is understood. The method suggested reduces the problem of state description in type 3 factors to the description of limited states. The theorem any state on the AFF projectors of type 3 is a regular one - is proved