Geodesic
Uniformly Continuous Functionals andM-Weakly Amenable Groups
Canadian journal of mathematics, Tome 65 (2013) no. 5, pp. 1005-1019

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DOI

Let $G$ be a locally compact group. Let ${{A}_{M}}\left( G \right)\,\left( {{A}_{0}}\left( G \right) \right)$ denote the closure of $A\left( G \right)$ , the Fourier algebra of $G$ in the space of bounded (completely bounded) multipliers of $A\left( G \right)$ . We call a locally compact group $\text{M}$ -weakly amenable if ${{A}_{M}}\left( G \right) $ has a bounded approximate identity. We will show that when $G$ is $\text{M}$ -weakly amenable, the algebras ${{A}_{M}}\left( G \right) $ and ${{A}_{0}}\left( G \right)$ have properties that are characteristic of the Fourier algebra of an amenable group. Along the way we show that the sets of topologically invariant means associated with these algebras have the same cardinality as those of the Fourier algebra.
DOI : 10.4153/CJM-2013-019-x
Mots-clés : 43A07, 43A22, 46J10, 47L25, Fourier algebra, multipliers, weakly amenable, uniformly continuous functionals 
Forrest, Brian; Miao, Tianxuan. Uniformly Continuous Functionals andM-Weakly Amenable Groups. Canadian journal of mathematics, Tome 65 (2013) no. 5, pp. 1005-1019. doi: 10.4153/CJM-2013-019-x
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     title = {Uniformly {Continuous} {Functionals} {andM-Weakly} {Amenable} {Groups}},
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