自同态的近似内在性和中心平凡性
Approximate innerness and central triviality of endomorphisms
摘要：
我们引入了可分von Neumann因子上自同态的近似内性和中心平凡性的概念，并利用Izumi引入的自同态和模自同态的Connes-Takesaki模刻画了超有限因子上自同态的近似内性和中心平凡性.我们的结果是Kawahigashi-Sutherland-Takesaki在自同构情形下相应结果的推广。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
