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\(C^*\)-bornological algebras. (English) Zbl 1239.46037

Summary: A kind of Gelfand-Naimark theorem is given for commutative bornological inductive limits of \(C^*\)-algebras. We also examine links between \(C^*\)-bornological algebras and locally \(C^*\)-algebras.

MSC:

46K05 General theory of topological algebras with involution
46K99 Topological (rings and) algebras with an involution
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