English

A note on amenability of locally compact quantum groups

Operator Algebras 2019-08-15 v2 Functional Analysis

Abstract

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. Particularly, this provides a new characterization of amenability of locally compact groups.

Keywords

Cite

@article{arxiv.1207.5750,
  title  = {A note on amenability of locally compact quantum groups},
  author = {Piotr M. Sołtan and Ami Viselter},
  journal= {arXiv preprint arXiv:1207.5750},
  year   = {2019}
}

Comments

v2: minor additions; to appear in Canadian Mathematical Bulletin

R2 v1 2026-06-21T21:40:46.678Z