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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
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.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2005

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