Harmonic function spaces of probability measures on fusion algebras
type: Item
instance of: scholarly article
title: Harmonic function spaces of probability measures on fusion algebras
zbMATH Open document ID: 0969.46045
author: Tomohiro Hayashi
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 2000-09-14T00:00:00Z
review text: Summary: We study harmonic function spaces of probability measures on fusion algebras of \(C^*\)-tensor categories and show that almost ergodicity is equivalent to ergodicity for amenable fusion algebras, which generalizes a result due to S. Popa for probability measures associated to subfactors.
Mathematics Subject Classification ID: 46L37
Mathematics Subject Classification ID: 46L89
zbMATH DE Number: 1508169
zbMATH Keywords: harmonic function spaces
zbMATH Keywords: probability measures on fusion algebras
zbMATH Keywords: \(C^*\)-tensor categories
zbMATH Keywords: almost ergodicity
zbMATH Keywords: ergodicity for amenable fusion algebras
zbMATH Keywords: subfactors
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195143102
OpenAlex ID: W2024353212
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DOI: 10.2977/PRIMS/1195143102
description: scientific article; zbMATH DE number 1508169