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• W1995395562 startingPage "6389" @default.
• W1995395562 abstract "We establish some characterizations of the weak fixed point property (weak fpp) for noncommutative (and commutative) $mathcal {L}^1$ spaces and use this for the Fourier algebra $A(G)$ of a locally compact group $G.$ In particular we show that if $G$ is an IN-group, then $A(G)$ has the weak fpp if and only if $G$ is compact. We also show that if $G$ is any locally compact group, then $A(G)$ has the fixed point property (fpp) if and only if $G$ is finite. Furthermore if a nonzero closed ideal of $A(G)$ has the fpp, then $G$ must be discrete." @default.
• W1995395562 created "2016-06-24" @default.
• W1995395562 creator A5003829962 @default.
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• W1995395562 date "2008-07-22" @default.
• W1995395562 modified "2023-09-29" @default.
• W1995395562 title "Fixed point property and the Fourier algebra of a locally compact group" @default.
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• W1995395562 doi "https://doi.org/10.1090/s0002-9947-08-04622-9" @default.
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