Approximate innerness and central triviality of endomorphisms

Toshihiko Masuda; Reiji Tomatsu

doi:10.1016/j.aim.2008.10.005

Approximate innerness and central triviality of endomorphisms

Toshihiko Masuda^*, Reiji Tomatsu

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1075-1134
Number of pages	60
Journal	Advances in Mathematics
Volume	220
Issue number	4
DOIs	https://doi.org/10.1016/j.aim.2008.10.005
Publication status	Published - 2009 Mar 1
Externally published	Yes

Keywords

Approximate innerness
Central triviality
Connes-Takesaki modules
Endomorphisms
Modular endomorphisms

ASJC Scopus subject areas

Mathematics(all)

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10.1016/j.aim.2008.10.005

Cite this

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AU - Tomatsu, Reiji

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AB - 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.

KW - Approximate innerness

KW - Central triviality

KW - Connes-Takesaki modules

KW - Endomorphisms

KW - Modular endomorphisms

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JO - Advances in Mathematics

JF - Advances in Mathematics

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ER -

Approximate innerness and central triviality of endomorphisms

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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