Vershik, A. M.; Kerov, S. V. 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). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 59 Documents MathOverflow Questions: Asymptotic character theory of unitary groups via shifted Schur functions 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 Keywords:Thoma-Voiculescu reduction; ergodic method; Weyl formulas; K-functors; infinite unitary group; positiv definite functions; characters; factor representations Citations:Zbl 0324.28014; Zbl 0507.20006; Zbl 0192.12402 PDFBibTeX XMLCite \textit{A. M. Vershik} and \textit{S. V. Kerov}, Sov. Math., Dokl. 26, 570--574 (1982; Zbl 0524.22017); translation from Dokl. Akad. Nauk SSSR 267, 272--276 (1982)