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Characters and factor representations of the infinite unitary group. (English. Russian original) Zbl 0524.22017

Sov. Math., Dokl. 26, 570-574 (1982); translation from Dokl. Akad. Nauk SSSR 267, 272-276 (1982).

MSC:

22E65 Infinite-dimensional Lie groups and their Lie algebras: general properties
43A65 Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis)
46L35 Classifications of \(C^*\)-algebras
43A35 Positive definite functions on groups, semigroups, etc.
81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations
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