On positive definiteness over locally compact quantum groups

Volker Runde, Ami Viselter

Research output: Contribution to journalArticlepeer-review


The notion of positive-definite functions over locally compact quantum groups was recently introduced and studied by Daws and Salmi. Based on this work, we generalize various wellknown results about positive-definite functions over groups to the quantum framework. Among these are theorems on "square roots" of positive-definite functions, comparison of various topologies, positive-definite measures and characterizations of amenability, and the separation property with respect to compact quantum subgroups.

Original languageEnglish
Pages (from-to)1067-1095
Number of pages29
JournalCanadian Journal of Mathematics
Issue number5
StatePublished - Oct 2016

Bibliographical note

Publisher Copyright:
© Canadian Mathematical Society 2016.


  • Bicrossed product
  • Locally compact quantum group
  • Non-commutative L-space
  • Positive-definite function
  • Positive-definite measure
  • Separation property

ASJC Scopus subject areas

  • General Mathematics


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