A note on amenability of locally compact quantum groups
Piotr M. So{\l}tan, Ami Viselter

TL;DR
This paper introduces quantum injectivity as a new concept and proves its equivalence to the dual's amenability, offering a novel characterization of amenability in locally compact groups.
Contribution
It defines quantum injectivity and establishes its equivalence to dual amenability, providing a new perspective on group amenability.
Findings
Quantum injectivity is equivalent to dual amenability.
Provides a new characterization of amenability for locally compact groups.
Establishes a link between quantum group properties and classical group theory.
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.
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