Harmonic Operators of Ergodic Quantum Group Actions

2014/04/22 by Amini, Massoud, Kalantar, Mehrdad, Moakhar, Mohammad S. M.
#FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1404.5594

Abstract

In this paper we study the harmonic elements of (convolution) Markov maps associated to (ergodic) actions of locally compact quantum groups on (σ-finite) von Neumann algebras. We give several equivalent conditions under which the harmonic elements are trivial.

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