Pointwise inner automorphisms of almost periodic factors

• Cyril Houdayer ^[1] ; Yusuke Isono ^[2]
  1. [1] École Normale Supérieure

     École Normale Supérieure

     Francia

     
  2. [2] Kyoto University

     Kyoto University

     Kamigyō-ku, Japón

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 30, Nº. 4, 2024, págs. 1-17
• Idioma: inglés
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• Resumen

  • We prove that a large class of nonamenable almost periodic type III1 factors M, including all McDuff factors that tensorially absorb R∞ and all free Araki–Woods factors, satisfy Haagerup–Størmer’s conjecture (1988): any pointwise inner automorphism of M is the composition of an inner and a modular automorphism