Proof of the Ghahramani-Lau conjecture
Functional Analysis
2016-09-15 v1 Group Theory
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.
Keywords
Cite
@article{arxiv.1510.05412,
title = {Proof of the Ghahramani-Lau conjecture},
author = {Viktor Losert and Matthias Neufang and Jan Pachl and Juris Steprāns},
journal= {arXiv preprint arXiv:1510.05412},
year = {2016}
}