Compact group actions on UHF algebras obtained by folding the interval

DOI10.1016/0022-1236(91)90082-GzbMath0746.46055OpenAlexW2018141742MaRDI QIDQ1174964

David E. Evans, Akitaka Kishimoto

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0022-1236(91)90082-g

zbMATH Keywords

UHF algebraactions of compact groups of UHF algebras whose fixed point algebras are not AFinductive limits of subhomogeneous algebras on an interval

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) States of selfadjoint operator algebras (46L30) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (7)

Extensions of certain real rank zero \(C^*\)-algebras ⋮ Classifying \(C^*\)-algebras via ordered, mod-\(p\) \(K\)-theory ⋮ The unitary Cuntz semigroup on the classification of non-simple \(C^\ast\)-algebras ⋮ When is the Cuntz-Krieger algebra of a higher-rank graph approximately finite-dimensional? ⋮ An action of the Klein four-group on the irrational rotation C*-algebra ⋮ Reduction of real rank in inductive limits of \(C^*\)-algebras ⋮ Uniformly based Cuntz semigroups and approximate intertwinings

Cites Work

• On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
• Actions of compact groups on AF \(C^*\)-algebras
• Symmetries of the CAR algebra
• Inductive Limits of Finite Dimensional C ∗ -Algebras
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