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Tannaka-Krein reconstruction for coactions of finite quantum groupoids

Leonid Vainerman, Jean-Michel Vallin
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Abstract

We study coactions of finite quantum groupoids on unital $C^*$-algebras and obtain a Tannaka-Krein reconstruction theorem for them.

Key words: Coactions and corepresentations of quantum groupoids, $C^*$-categories, reconstruction theorem.


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TitleTannaka-Krein reconstruction for coactions of finite quantum groupoids
SourceMethods Funct. Anal. Topology, Vol. 23 (2017), no. 1, 76-107
MathSciNet   MR3632391
zbMATH 06810670
Milestones  Received 13/09/2016; Revised 06/11/2016
CopyrightThe Author(s) 2017 (CC BY-SA)

Authors Information

Leonid Vainerman
Laboratoire Nicolas Oresme, Universite de Caen

Jean-Michel Vallin
Laboratoire Mapmo, Universite d’Orleans


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Leonid Vainerman and Jean-Michel Vallin, Tannaka-Krein reconstruction for coactions of finite quantum groupoids, Methods Funct. Anal. Topology 23 (2017), no. 1, 76-107.


BibTex

@article {MFAT949,
    AUTHOR = {Vainerman, Leonid and Vallin, Jean-Michel},
     TITLE = {Tannaka-Krein reconstruction for coactions of finite quantum groupoids},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {23},
      YEAR = {2017},
    NUMBER = {1},
     PAGES = {76-107},
      ISSN = {1029-3531},
  MRNUMBER = {MR3632391},
 ZBLNUMBER = {06810670},
       URL = {http://mfat.imath.kiev.ua/article/?id=949},
}


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