摘要：Motivated by Bratteli diagrams of Approximately Finite Dimensional (AF) C * - algebras, we consider diagrammatic representations of separable L 1 -predual spaces and show that, in analogy to a result in AF C * -algebra theory, in such spaces, every M -ideal corresponds to directed sub diagram. This allows one, given a representing matrix of a L 1 -predual space, to recover a representing matrix of an M -ideal in X. We give examples where the converse is true in the sense that given an M -ideal in a L 1 -predual space X , there exists a diagrammatic representation of X such that the M -ideal is given by a directed sub diagram and an algorithmic way to recover a representing matrix of M -ideals in these spaces. Given representing matrices of two L 1 -predual spaces we construct a representing matrix of their injective tensor product.
关键词：representing matrix; generalized diagram; directed sub diagram; M-ideals; tensor products
