Classification of approximately inner automorphisms of subfactors
type: Item
instance of: scholarly article
title: Classification of approximately inner automorphisms of subfactors
zbMATH Open document ID: 0879.46029
author: Yasuyuki Kawahigashi
published in: Mathematische Annalen
publication date: 1997-09-04T00:00:00Z
review text: For classification of approximately inner automorphisms of subfactors, we introduce a new invariant, a higher obstruction. From an algebraic viewpoint, this can be regarded as a generalization of the Connes obstruction, and from an analytic viewpoint, this can be regarded as a generalization of the Jones invariant \(\kappa\). We have two classification theorems for approximately inner automorphisms of strongly amenable subfactors with known invariants and this new one. In particular, our theorems give a complete classification of automorphisms, up to outer conjugacy, of AFD subfactors of type \(\text{II}_1\) with index less than four except for one special case for \(A_{4n-1}\) and \(E_6\).
Mathematics Subject Classification ID: 46L37
Mathematics Subject Classification ID: 46L40
zbMATH DE Number: 1057247
zbMATH Keywords: approximately inner automorphisms
zbMATH Keywords: subfactors
zbMATH Keywords: higher obstruction
zbMATH Keywords: Connes obstruction
zbMATH Keywords: Jones invariant
zbMATH Keywords: strongly amenable subfactors
MaRDI profile type: Publication
full work available at URL: s002080050083
OpenAlex ID: W1967233291
DOI: 10.1007/S002080050083
description: scientific article; zbMATH DE number 1057247