Amenability of locally compact quantum groups and their unitary co-representations

Chi Keung Ng, Ami Viselter

Research output: Contribution to journalArticlepeer-review


We prove that amenability of a unitary co-representation U of a locally compact quantum group passes to unitary co-representations that weakly contain U. This generalizes a result of Bekka, and answers affirmatively a question of Bédos, Conti and Tuset. As a corollary, we extend to locally compact quantum groups a result of the first-named author, which characterizes amenability of a locally compact group G by nuclearity of the reduced group C∗-Algebra Cr∗(G) and an additional condition.

Original languageEnglish
Pages (from-to)491-498
Number of pages8
JournalBulletin of the London Mathematical Society
Issue number3
StatePublished - Jun 2017

Bibliographical note

Publisher Copyright:
© 2017 London Mathematical Society.


  • 20G42 (primary)
  • 22D25
  • 46L89 (secondary)

ASJC Scopus subject areas

  • General Mathematics


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