Classification of uniformly outer actions of Z2 on UHF algebras

• Autores: Takeshi Katsura, Hiroki Matui
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 218, Nº 3, 2008, págs. 940-968
• Idioma: inglés
• DOI: 10.1016/j.aim.2008.01.014
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• Resumen

  • We give a complete classification up to cocycle conjugacy of uniformly outer actions of on UHF algebras. In particular, it is shown that any two uniformly outer actions of on a UHF algebra of infinite type are cocycle conjugate. We also classify them up to outer conjugacy