Characters of the infinite symmetric inverse semigroup

DOI10.1134/S001626632003003XOpenAlexW3134088731MaRDI QIDQ2662218

N. I. Nessonov

Publication date: 9 April 2021

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s001626632003003x

zbMATH Keywords

charactermultiplicativityfactor representationinverse symmetric semigroup

Mathematics Subject Classification ID

Group theory and generalizations (20-XX)

Cites Work

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• Description of the characters and factor representations of the infinite symmetric inverse semigroup.
• Generators and relations for partition monoids and algebras.
• Représentations factorielles de type \(II_1\) de \(U(\infty)\)
• Representations of the rook monoid.
• Thoma's theorem and representations of the infinite bisymmetric group
• On representations of the infinite symmetric group
• Representations of uniformly hyperfinite algebras and their associated von Neumann rings
• Die unzerlegbaren, positiv-definiten Klassenfunktionen der abzählbar unendlichen, symmetrischen Gruppe

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