Centralization of positive definite functions, weak containment of representations and Thoma characters for the infinite symmetric group

DOI10.1215/kjm/1250281694zbMath1120.22003OpenAlexW1575196935MaRDI QIDQ816448

Takeshi Hirai

Publication date: 9 March 2006

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250281694

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Positive definite functions on groups, semigroups, etc. (43A35) Representations of infinite symmetric groups (20C32) Character groups and dual objects (43A40)

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Projective representations and spin characters of complex reflection groups \(G(m,p,n)\) and \(G(m,p,\infty)\), III. ⋮ On subfactors arising from asymptotic representations of symmetric groups

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