On characterizations of amenable C∗-dynamical systems and new examples

• Narutaka Ozawa ^[1] ; Yuhei Suzuki ^[2]
  1. [1] Kyoto University

     Kyoto University

     Kamigyō-ku, Japón

     
  2. [2] Hokkaido University

     Hokkaido University

     Chūō-ku, Japón

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 27, Nº. 5, 2021
• Idioma: inglés
• DOI: 10.1007/s00029-021-00699-2
• Enlaces
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• Resumen

  • We show the equivalence of several amenability type conditions for C∗-dynamical systems. As an application, based on the Pimsner–Meyer construction, we give a new method to produce amenable actions on simple C∗-algebras.