Extremal traces on some group-invariant C*-algebras

DOI10.1016/0022-1236(82)90075-1zbMath0503.46040OpenAlexW1986335459MaRDI QIDQ1173247

Geoffrey L. Price

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0022-1236(82)90075-1

zbMATH Keywords

fixed pointsAF-algebraautomorphisms of product typeextremal tracesymmetric product stateUHF algebra of Glimm type

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Classifications of (C^*)-algebras (46L35) States of selfadjoint operator algebras (46L30)

Related Items (9)

Extending traces on fixed point \(C^ *\) algebras under Xerox product type actions of compact Lie groups ⋮ EQUILIBRIUM STATES AND THEIR ENTROPY DENSITIES IN GAUGE-INVARIANT C*-SYSTEMS ⋮ Quantum Rényi divergences and the strong converse exponent of state discrimination in operator algebras ⋮ QUANTUM MECHANICS IN AFC*-SYSTEMS ⋮ On subfactors arising from asymptotic representations of symmetric groups ⋮ Actions of compact quantum groups on 𝐶*-algebras ⋮ Extremal traces on some group-invariant \(C^ *\)-algebras. II ⋮ Extremal traces on some group-invariant \(C^ *\)-algebras. II ⋮ Central measures on multiplicative graphs, representations of Lie algebras and weight polytopes

Cites Work

• Unnamed Item
• Large groups of automorphisms of \(C^ *\)-algebras
• Representations of uniformly hyperfinite algebras and their associated von Neumann rings
• Symmetric states of infinite tensor products of \(C^ *\)-algebras
• Die unzerlegbaren, positiv-definiten Klassenfunktionen der abzählbar unendlichen, symmetrischen Gruppe
• Produits tensoriels infinis et représentations des relations d'anticommutation
• Inductive Limits of Finite Dimensional C ∗ -Algebras

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