# 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

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topAnthony 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>.

@article{AnthonyTo2015,

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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