Approximate innerness and central triviality of endomorphisms

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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.
57 pages

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Operator Algebras, 46L10, 46L37

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http://salesiana.dossiersoluciones.com/handle/123456789/154058

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0802.0344
 http://arxiv.org/abs/0802.0344

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arXiv