Non Commutative Topology and Local Structure of Operator Algebras
نویسندگان
چکیده
Starting with a W ∗-algebra M we use the inverse system obtained by cutting down M by its (central) projections to define an inverse limit of W ∗-algebras , and show that how this pro-W ∗-algebra encodes the local structure of M . For the C∗-algebras we do the same thing using their atomic enveloping W ∗-algebras . We investigate the relation of these ideas to the Akemann-Giles-Kummer non commutative topology. Finally we use these ideas to look at the local structure of Kac algebras.
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تاریخ انتشار 2002