Generalization of Longo-Rehren construction to subfactors of infinite depth and amenability of fusion algebras
type: Item
instance of: scholarly article
title: Generalization of Longo-Rehren construction to subfactors of infinite depth and amenability of fusion algebras
zbMATH Open document ID: 0954.46038
author: Toshihiko Masuda
published in: Journal of Functional Analysis
publication date: 2000-08-28T00:00:00Z
review text: The aim of the paper was two-fold. First, the author wanted to extend the Longo-Rehren construction of subfactors [\textit{R. Longo} and \textit{K.-H. Rehren}, Rev. Math. Phys. 7, No. 4, 567-597 (1995; Zbl 0836.46055)] to the case of infinite depth, and secondly, he wanted to give a more direct approach to the amenability of subfactors based on Work by \textit{F. Hiai} and \textit{M. Izumi} [Int. J. Math. 9, No. 6, 669-722 (1998)] on amenability of fusion algebras. Regarding the first, he also proves that Popa's symmetric enveloping inclusion and the subfactor constructed by Longo and Rehren are isomorphic.
Mathematics Subject Classification ID: 46L37
Mathematics Subject Classification ID: 46L80
zbMATH DE Number: 1423452
zbMATH Keywords: subfactors
zbMATH Keywords: symmetric enveloping algebra
zbMATH Keywords: amenability
zbMATH Keywords: Jones index
zbMATH Keywords: fusion algebras
zbMATH Keywords: Longo-Rehren construction
zbMATH Keywords: amenability of subfactors
zbMATH Keywords: Popa's symmetric enveloping inclusion
MaRDI profile type: Publication
full work available at URL: jfan.1999.3523
OpenAlex ID: W2074944736
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DOI: 10.1006/JFAN.1999.3523
description: scientific article; zbMATH DE number 1423452