%0 Journal Article %T Harmonic Operators of Ergodic Quantum Group Actions %A Massoud Amini %A Mehrdad Kalantar %A Mohammad S. M. Moakhar %J Mathematics %D 2014 %I arXiv %X In this paper we study the harmonic elements of (convolution) Markov maps associated to (ergodic) actions of locally compact quantum groups on ($\sigma$-finite) von Neumann algebras. We give several equivalent conditions under which the harmonic elements are trivial. %U http://arxiv.org/abs/1404.5594v1