Functional realization of \(AW^*\)-algebras of type I (Q1177450)

In the work of \textit{M. Ozawa} [J. Math. Soc. Jap. 36, No. 4, 589-608 (1984; Zbl 0599.46083)] the invariants are described that characterize an \(AW^*\)-algebra of type I up to a \(*\)-isomorphism. These invariants are objects of Boolean valued inverse \(V^{(B)}\). In the work being reviewed the analogous invariants are given that do not use the construction of \(V^{(B)}\). Moreover, the representations of \(AW^*\)-modules and \(AW^*\)-algebras of type I are given as spaces of continuous vector-valued functions and as algebras of strongly continuous operator-valued functions, respectively.