Ergodic properties and harmonic functionals on locally compact quantum groups.

For a locally compact quantum group 픾, we generalize some notions of amenability such as amenability of locally compact quantum groups and inner amenability of locally compact groups to the case of right Banach L1(픾)-modules. Also, we investigate the concept of harmonic functionals over right Banach L1(픾)-modules and use these devices to study, among others, amenability of 픾. [ABSTRACT FROM AUTHOR]