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Rigid C*-Tensor Categories and their Realizations as Hilbert C*-Bimodules

Part of: Methods of category theory in functional analysis Groups and algebras in quantum theory Categories with structure Selfadjoint operator algebras

Published online by Cambridge University Press:  16 November 2018

Wei Yuan
Wei Yuan*
Affiliation:
Academy of Mathematics and Systems Science Chinese Academy of Sciences, Beijing 100190, People's Republic of China School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, People's Republic of China (wyuan@math.ac.cn)
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Abstract

We realize every small rigid C*-tensor category with simple unit object as Hilbert C*-bimodules.

Keywords

C*-tensor categoryfinite Hilbert C*-bimodules

MSC classification

Primary: 81R15: Operator algebra methods
Secondary: 46M15: Categories, functors 46L08: $C^*$-modules 18D10: Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 62 , Issue 2 , May 2019 , pp. 367 - 393
Copyright
Copyright © Edinburgh Mathematical Society 2018 

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