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Generalized dimension function for $W^{\ast}$-algebras of infinite type

Generalized dimension function for $W^{\ast}$-algebras of infinite type

For the dimension theory of JF*-algebras, many results have been obtained up to present, but the infinite case remains obscure.It is the purpose of the present paper to remove this obscurity by defining a dimension function in a properly infinite W*-algebra which admits the same properties as in the case …