On the algebra of measurable operators for a general $AW^{\ast}$-algebra, II

Let us consider the following problem: Let iWi be the <:*-sum of a family (M t ) of AW*-algebras, that is, the algebra of all bounded sequences {# J, a i < M iy with natural norm and ^-operations (note that ikL = M t is an AW*-algebra ([ 5 ])) and Co(resp. d) be the algebra of "measurable operators" affiliated with Moo(resp. M 4 ) ([ 8 ]), then is it true that <*> is the complete direct sum of d{e set of all families x=(x t ) with x % z C t for each z, with the coordinatewise operations)? S.K.Berberian

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