Semifinite characters of the group U(\(\infty)\)

DOI10.1007/BF02104977zbMath0556.22008OpenAlexW2010702177MaRDI QIDQ761549

G. Ya. Gitel'son

Publication date: 1985

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02104977

zbMATH Keywords

representationinfinite unitary groupsemifinite character of a representation

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

Cites Work

• On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
• Représentations factorielles de type \(II_1\) de \(U(\infty)\)
• Die unzerlegbaren, positiv-definiten Klassenfunktionen der abzählbar unendlichen, symmetrischen Gruppe
• On the Generating Function of a Doubly Infinite, Totally Positive Sequence
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