This is a sequel to our recent work (2012) on the Fourier-Stieltjes algebra B(G) of a topological group G. We introduce the unitary closure G̅ of G and use it to study the Fourier algebra A(G) of G. We also study operator amenability and fixed point property as well as other related geometric properties for A(G).
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm8138-1-2016,
author = {Anthony To-Ming Lau and Jean Ludwig},
title = {Unitary closure and Fourier algebra of a topological group},
journal = {Studia Mathematica},
volume = {231},
year = {2015},
pages = {1-28},
zbl = {06545407},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm8138-1-2016}
}
Anthony To-Ming Lau; Jean Ludwig. Unitary closure and Fourier algebra of a topological group. Studia Mathematica, Tome 231 (2015) pp. 1-28. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm8138-1-2016/