Classification of approximately inner actions of discrete amenable groups on strongly amenable subfactors

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Abstract

We give the classification theorem of approximately inner actions of discrete amenable groups on strongly amenable subfactor of type II1 by means of the characteristic invariant and v invariant. To prove this theorem, we also give the classification theorem when the inner part and the centrally trivial part of actions coincide.

Original languageEnglish
Pages (from-to)1193-1206
Number of pages14
JournalInternational Journal of Mathematics
Volume16
Issue number10
DOIs
Publication statusPublished - Nov 1 2005

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Subfactors
Amenable Group
Discrete Group
Theorem
Invariant
Trivial

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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title = "Classification of approximately inner actions of discrete amenable groups on strongly amenable subfactors",
abstract = "We give the classification theorem of approximately inner actions of discrete amenable groups on strongly amenable subfactor of type II1 by means of the characteristic invariant and v invariant. To prove this theorem, we also give the classification theorem when the inner part and the centrally trivial part of actions coincide.",
author = "Toshihiko Masuda",
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