Published online by Cambridge University Press: 20 November 2018
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.
The first author was partially supported by the National Science Center (NCN) grant no. 2011/01/B/ST1/05011. The second author was supported by NSERC Discovery Grant no. 418143-2012.