Harmonic operators of ergodic quantum group actions

Amini, Massoud; Kalantar, Mehrdad; Moakhar, Mohammad

doi:10.1090/proc12757

Harmonic operators of ergodic quantum group actions
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by Massoud Amini, Mehrdad Kalantar and Mohammad S. M. Moakhar PDF

Proc. Amer. Math. Soc. 143 (2015), 4325-4333 Request permission

Abstract:

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.

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