Hostname: page-component-7bb8b95d7b-l4ctd Total loading time: 0 Render date: 2024-09-13T02:46:45.796Z Has data issue: false hasContentIssue false
  • English
  • Français

EVERY TOPOLOGICALLY AMENABLE LOCALLY COMPACT QUANTUM GROUP IS AMENABLE

Part of: Selfadjoint operator algebras

Published online by Cambridge University Press:  15 May 2012

AMIN ZOBEIDI
AMIN ZOBEIDI*
Affiliation:
Department of Mathematics, Chamran University, Ahvaz, Iran (email: zobeidiamin@gmail.com)
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We prove that every topologically amenable locally compact quantum group is amenable. This answers an open problem by Bédos and Tuset [‘Amenability and co-amenability for locally compact quantum groups’, Internat. J. Math.14 (2003), 865–884].

Keywords

locally compact quantum groupamenability

MSC classification

Secondary: 46L89: Other “noncommutative” mathematics based on $C^*$-algebra theory
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 87 , Issue 1 , February 2013 , pp. 149 - 151
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2012

References

[1]Bédos, E. and Tuset, L., ‘Amenability and co-amenability for locally compact quantum groups’, Internat. J. Math. 14 (2003), 865–884.CrossRefGoogle Scholar
[2]Desmedt, P., Quaegebeur, J. and Vaes, S., ‘Amenability and the bicrossed product construction’, Illinois J. Math. 46 (2002), 1259–1277.CrossRefGoogle Scholar
[3]Kustermans, J. and Vaes, S., ‘Locally compact quantum groups’, Ann. Sci. Éc. Norm. Supér. 33 (2000), 837–934.CrossRefGoogle Scholar
[4]Runde, V., ‘Uniform continuity over locally compact quantum groups’, J. Lond. Math. Soc. 80 (2009), 55–71.Google Scholar