From subfactors to categories and topology. II: The quantum double of tensor categories and subfactors
type: Item
instance of: scholarly article
title: From subfactors to categories and topology. II: The quantum double of tensor categories and subfactors
zbMATH Open document ID: 1033.18003
DOI: 10.1016/S0022-4049(02)00248-7
author: Michael Müger
published in: Journal of Pure and Applied Algebra
publication date: 2003-04-28T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0111205
review text: In this second paper of the series [for part I, see \textit{M. Müger}, ibid. 81--157 (2003; Zbl 1033.18002)], the author studies the dimension of the centre of certain monoidal categories. He gives conditions ensuring that weakly monoidal Morita equivalent monoidal categories have equivalent centres, and ensuring that the centre has dimension equal to the square of the dimension of the original monoidal category. Results of \textit{P. Etingof} and \textit{S. Gelaki} [Math. Res. Lett. 5, 191--197 (1998; Zbl 0907.16016)] and \textit{S. Gelfand} and \textit{D. Kazhdan} [Geom. Funct. Anal. 6, 268--300 (1996; Zbl 0870.57017)] are generalized and cast in the context of monoidal categories.
Mathematics Subject Classification ID: 18D10
Mathematics Subject Classification ID: 18D05
Mathematics Subject Classification ID: 46L37
zbMATH DE Number: 1901790
zbMATH Keywords: subfactor
zbMATH Keywords: operator algebra
zbMATH Keywords: monoidal category
zbMATH Keywords: tensor category
zbMATH Keywords: centre
zbMATH Keywords: Drinfeld double
zbMATH Keywords: TQFT
reviewed by: Ross H. Street
MaRDI profile type: Publication
arXiv ID: math/0111205
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description: scientific article