A note on amenability of locally compact quantum groups

Piotr M. Sołtan, Ami Viselter

Research output: Contribution to journalArticlepeer-review


In this short note we introduce a notion called quantum injectivity of locally compact quantum groups, and prove that it is equivalent to amenability of the dual. In particular, this provides a new characterization of amenability of locally compact groups.

Original languageEnglish
Pages (from-to)424-430
Number of pages7
JournalCanadian Mathematical Bulletin
Issue number2
StatePublished - Jun 2014
Externally publishedYes


  • Amenability
  • Conditional expectation
  • Injectivity
  • Locally compact quantum group
  • Quantum injectivity

ASJC Scopus subject areas

  • General Mathematics


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