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On Amenability and Co-Amenability of Algebraic Quantum Groups and Their Corepresentations

Published online by Cambridge University Press:  20 November 2018

Erik Bédos ,
Roberto Conti  and
Lars Tuset
Erik Bédos
Affiliation:
Institute of Mathematics, University of Oslo, P.B. 1053 Blindern, 0316 Oslo, Norway e-mail: bedos@math.uio.no
Roberto Conti
Affiliation:
Mathematisches Institut, Friedrich-Alexander Universität Erlangen-Nürnberg, Bismarckstr. 1 1/2 D-91054 Erlangen, Germany e-mail: conti@mi.uni-erlangen.de
Lars Tuset
Affiliation:
Faculty of Engineering, Oslo University College, Cort Adelers Gate 30, 0254 Oslo, Norway e-mail: Lars.Tuset@iu.hio.no
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Abstract

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We introduce and study several notions of amenability for unitary corepresentations and $*$-representations of algebraic quantum groups, which may be used to characterize amenability and co-amenability for such quantum groups. As a background for this study, we investigate the associated tensor ${{C}^{*}}$-categories.

Keywords

46L0546L6522D1022D2543A0743A6558B32quantum groupamenability
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 57 , Issue 1 , 01 February 2005 , pp. 17 - 60
Copyright
Copyright © Canadian Mathematical Society 2005

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