Spectral analysis for automorphisms of UHF C*-algebras

Richard H. Herman, Adrian Ocneanu

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We study outer conjugacy for aperiodic automorphisms of UHF C*-algebras. We show the existence of an action on the universal UHF algebra which is absorbing, via tensor product. For product actions we provide an explicit criterion for the action to be absorbing. This criterion involves the eventual uniform distribution, mod 1, of the eigenvalues of the approximating unitaries.

Original languageEnglish (US)
Pages (from-to)1-10
Number of pages10
JournalJournal of Functional Analysis
Issue number1
Publication statusPublished - Mar 1986


All Science Journal Classification (ASJC) codes

  • Analysis

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