Approximate innerness and central triviality of endomorphisms

• Autores: Toshihiko Masuda, Reiji Tomatsu
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 220, Nº 4, 2009, págs. 1075-1134
• Idioma: inglés
• DOI: 10.1016/j.aim.2008.10.005
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• Resumen

  • We introduce the notions of approximate innerness and central triviality for endomorphisms on separable von Neumann factors, and we characterize them for hyperfinite factors by Connes�Takesaki modules of endomorphisms and modular endomorphisms which are introduced by Izumi. Our result is a generalization of the corresponding result obtained by Kawahigashi�Sutherland�Takesaki in automorphism case