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May 2018 Bekka-type amenabilities for unitary corepresentations of locally compact quantum groups
Xiao Chen
Ann. Funct. Anal. 9(2): 210-219 (May 2018). DOI: 10.1215/20088752-2017-0044

Abstract

In this short note, we further Ng’s work by extending Bekka amenability and weak Bekka amenability to general locally compact quantum groups, and we generalize some of Ng’s results to the general case. In particular, we show that a locally compact quantum group G is coamenable if and only if the contra-corepresentation of its fundamental multiplicative unitary WG is Bekka-amenable, and that G is amenable if and only if its dual quantum group’s fundamental multiplicative unitary WGˆ is weakly Bekka-amenable.

Citation

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Xiao Chen. "Bekka-type amenabilities for unitary corepresentations of locally compact quantum groups." Ann. Funct. Anal. 9 (2) 210 - 219, May 2018. https://doi.org/10.1215/20088752-2017-0044

Information

Received: 23 January 2017; Accepted: 5 May 2017; Published: May 2018
First available in Project Euclid: 7 December 2017

zbMATH: 06873698
MathSciNet: MR3795086
Digital Object Identifier: 10.1215/20088752-2017-0044

Subjects:
Primary: 20G42
Secondary: 22D25, 46L89

Rights: Copyright © 2018 Tusi Mathematical Research Group

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Vol.9 • No. 2 • May 2018
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