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Inductive extreme non-Arens regularity of the Fourier algebra A(G)

Inductive extreme non-Arens regularity of the Fourier algebra A(G)

Let $G$ be a non-discrete locally compact group, $A(G)$ the Fourier algebra of $G$, ${\rm VN}(G)$ the von Neumann algebra generated by the left regular representation of $G$ which is identified with $A(G)^*$, and ${\rm WAP}(\widehat {G})$ the space of all