Stability for integer actions on UHF \(C^*\)-algebras
\textit{A. Connes} has given in Acta Sci. Math. 39, 39-66 (1977; Zbl 0382.46027)] a classification of \(Z_ n\) actions on the hyperfinite \(II_ 1\) factor. The authors obtain a norm-continuous version of Connes' solution to 1-cohomology which is adaptable to the \(C^*\)-algebra situation. They also exhibit various model actions which are stable. For the cyclic product actions on any UHF \(C^*\)-algebra they give a complete set of invariants for conjugacy and outer conjugacy. A Glimm- type invariant enters for conjugacy.
cyclic product actions on any UHF \(C^*\)-algebra
complete set of invariants for conjugacy and outer conjugacy
scientific article; zbMATH DE number 3925596