Unitary closure and Fourier algebra of a topological group
Volume 231 / 2015
Studia Mathematica 231 (2015), 1-28
MSC: Primary 22A10; Secondary 43A30.
DOI: 10.4064/sm8138-1-2016
Published online: 9 February 2016
Abstract
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 $ \overline G $ 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) $.
