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arxiv: 1404.5594 · v1 · pith:SKQHXM7Xnew · submitted 2014-04-22 · 🧮 math.OA

Harmonic Operators of Ergodic Quantum Group Actions

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keywords harmonicactionselementsergodicquantumalgebrasassociatedcompact
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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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