Unitary closure and Fourier algebra of a topological group

Anthony To-Ming Lau; Jean Ludwig

Studia Mathematica (2015)

  • Volume: 231, Issue: 1, page 1-28
  • ISSN: 0039-3223

Abstract

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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 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).

How to cite

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Anthony To-Ming Lau, and Jean Ludwig. "Unitary closure and Fourier algebra of a topological group." Studia Mathematica 231.1 (2015): 1-28. <http://eudml.org/doc/285559>.

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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 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).},
author = {Anthony To-Ming Lau, Jean Ludwig},
journal = {Studia Mathematica},
keywords = {topological groups; unitary representations; Fourier-Stieltjes algebra; Fourier algebra; unitary cover and closure; operator amenability; fixed point property; invariant means},
language = {eng},
number = {1},
pages = {1-28},
title = {Unitary closure and Fourier algebra of a topological group},
url = {http://eudml.org/doc/285559},
volume = {231},
year = {2015},
}

TY - JOUR
AU - Anthony To-Ming Lau
AU - Jean Ludwig
TI - Unitary closure and Fourier algebra of a topological group
JO - Studia Mathematica
PY - 2015
VL - 231
IS - 1
SP - 1
EP - 28
AB - 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).
LA - eng
KW - topological groups; unitary representations; Fourier-Stieltjes algebra; Fourier algebra; unitary cover and closure; operator amenability; fixed point property; invariant means
UR - http://eudml.org/doc/285559
ER -

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