A note on amenability of locally compact quantum groups

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.

v2: minor additions; to appear in Canadian Mathematical Bulletin

References in corpus (1)

• Characterizations of compact and discrete quantum groups through second duals

Cited by in corpus (2)

• Amenability of locally compact quantum groups and their unitary co-representations
• The approximation property for locally compact quantum groups