Geodesic
Unitary closure and Fourier algebra of a topological group
Anthony To-Ming Lau 1   ; Jean Ludwig 2
1 Department of Mathematical and Statistical Sciences University of Alberta Edmonton T6G-2G1, Canada
2 Institut Élie Cartan de Lorraine Université de Lorraine-Metz Bâtiment A, Ile du Saulcy F-57045 Metz, France
Studia Mathematica, Tome 231 (2015) no. 1, pp. 1-28 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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) $.
DOI : 10.4064/sm8138-1-2016
Keywords: sequel recent work fourier stieltjes algebra topological group introduce unitary closure overline study fourier algebra study operator amenability fixed point property other related geometric properties

Anthony To-Ming Lau  1   ; Jean Ludwig  2

1 Department of Mathematical and Statistical Sciences University of Alberta Edmonton T6G-2G1, Canada
2 Institut Élie Cartan de Lorraine Université de Lorraine-Metz Bâtiment A, Ile du Saulcy F-57045 Metz, France 
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Anthony To-Ming Lau; Jean Ludwig. Unitary closure and Fourier algebra of a topological group. Studia Mathematica, Tome 231 (2015) no. 1, pp. 1-28. doi: 10.4064/sm8138-1-2016

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