Characters of the infinite symplectic group -- a Riesz ring approach

DOI10.1016/0022-1236(87)90117-0zbMath0645.46053OpenAlexW2067065063MaRDI QIDQ1103161

Robert P. Boyer

Publication date: 1987

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(87)90117-0

zbMATH Keywords

primitive idealsordered completion\(K_ 0\)-groupinfinite symplectic groupnon-integral primitive idealRiesz ring

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (5)

Semifinite harmonic functions on branching graphs ⋮ Spherical representations of \(C^\ast\)-flows. II: Representation system and quantum group setup ⋮ Multiplicative characters and Gaussian fluctuation limits ⋮ Semifinite harmonic functions on the zigzag graph ⋮ Generalized Bernstein polynomials and symmetric functions

Cites Work

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• A groupoid approach to C*-algebras
• Representation theory of the Hilbert-Lie group U(H)//2
• Representations of \(AF\)-algebras and of the group \(U(\infty)\)
• Characters of connected Lie groups
• Représentations factorielles de type \(II_1\) de \(U(\infty)\)
• The local structure of twisted covariance algebras
• A branching law for the symplectic groups
• Primary components of the lift-restriction sequence
• Branching rules for classical Lie groups using tensor and spinor methods
• Projective representations of the infinite orthogonal group
• Multiplicity formulas for certain semisimple Lie groups
• Inductive Limits of Finite Dimensional C ∗ -Algebras
• On a class of KMS states for the unitary group \(U(\infty)\)

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