Spectral analysis for automorphisms of UHF C*-algebras

Richard H. Herman, Adrian Ocneanu

Research output: Contribution to journalArticle

Abstract

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
Volume66
Issue number1
DOIs
StatePublished - Mar 1986

ASJC Scopus subject areas

  • Analysis

Fingerprint Dive into the research topics of 'Spectral analysis for automorphisms of UHF C<sup>*</sup>-algebras'. Together they form a unique fingerprint.

  • Cite this