Dualizability and index of subfactors
type: Item
instance of: scholarly article
title: Dualizability and index of subfactors
zbMATH Open document ID: 1406.46044
author: Christopher L. Douglas
author: André Henriques
author: Arthur Bartels
published in: Quantum Topology
publication date: 2015-03-05T00:00:00Z
full work available at URL: https://arxiv.org/abs/1110.5671
review text: Summary: In this paper, we develop the theory of bimodules over von Neumann algebras, with an emphasis on categorical aspects. We clarify the relationship between dualizability and finite index. We also show that, for von Neumann algebras with finite dimensional centers, the Haagerup \(L^2\)-space and Connes fusion are functorial with respect to homorphisms of finite index. Along the way, we describe a string diagram notation for maps between bimodules that are not necessarily bilinear.
Mathematics Subject Classification ID: 46L10
Mathematics Subject Classification ID: 46L37
zbMATH DE Number: 6411329
zbMATH Keywords: subfactors
zbMATH Keywords: Connes fusion
zbMATH Keywords: dualizability
zbMATH Keywords: Haagerup \(L^2\)-space
zbMATH Keywords: index
MaRDI profile type: Publication
arXiv ID: 1110.5671
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description: scientific article