Approximate innerness and central triviality of endomorphisms
Operator Algebras
2008-02-05 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0802.0344,
title = {Approximate innerness and central triviality of endomorphisms},
author = {Toshihiko Masuda and Reiji Tomatsu},
journal= {arXiv preprint arXiv:0802.0344},
year = {2008}
}
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57 pages