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Représentations factorielles de type \(II_1\) de \(U(\infty)\). (French) Zbl 0352.22014


MSC:

22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods
43A35 Positive definite functions on groups, semigroups, etc.
43A40 Character groups and dual objects
22E65 Infinite-dimensional Lie groups and their Lie algebras: general properties
22D25 \(C^*\)-algebras and \(W^*\)-algebras in relation to group representations