Extending traces on fixed point \(C^ *\) algebras under Xerox product type actions of compact Lie groups

DOI10.1016/0022-1236(87)90080-2zbMath0623.46027OpenAlexW2020252911MaRDI QIDQ1091572

David E. Handelman

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)90080-2

zbMATH Keywords

unitary representationtracecompact connected Lie groupfixed point algebrasmaximal torusUHF \(C^ *\)-algebraXerox product action

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) States of selfadjoint operator algebras (46L30)

Related Items (7)

Space-time boundaries for random walks obtained from diffuse measures ⋮ EQUILIBRIUM STATES AND THEIR ENTROPY DENSITIES IN GAUGE-INVARIANT C*-SYSTEMS ⋮ QUANTUM MECHANICS IN AFC*-SYSTEMS ⋮ K-theory of AF-algebras from braided C*-tensor categories ⋮ Central measures on multiplicative graphs, representations of Lie algebras and weight polytopes ⋮ Eigenvectors and ratio limit theorems for Markov chains and their relatives ⋮ IN PRAISE OF ORDER UNITS

Cites Work

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• Extremal traces on some group-invariant C*-algebras
• On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
• Transformation groups and \(C^ *\)-algebras
• Pure States on Some Group-Invariant C ∗ -Algebras
• Dimension Groups and Their Affine Representations
• Extremal traces on some group-invariant \(C^ *\)-algebras. II

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