Proof of the Ghahramani-Lau conjecture

DOI10.1016/J.AIM.2015.12.004zbMATH Open1336.43002arXiv1510.05412OpenAlexW2145595809WikidataQ58329960 ScholiaQ58329960MaRDI QIDQ908078

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Publication date: 2 February 2016

Published in: (Search for Journal in Brave)

Abstract: The Ghahramani-Lau conjecture is established; in other words, the measure algebra of every locally compact group is strongly Arens irregular. To this end, we introduce and study certain new classes of measures (called approximately invariant, respectively, strongly singular) which are of interest in their own right. Moreover, we show that the same result holds for the measure algebra of any (not necessarily locally compact) Polish group.

Full work available at URL: https://arxiv.org/abs/1510.05412

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