FA ] 2 5 M ar 2 00 3 Operator biflatness of the Fourier algebra and approximate indicators for subgroups

@inproceedings{Yu2003FA2,
  title={FA ] 2 5 M ar 2 00 3 Operator biflatness of the Fourier algebra and approximate indicators for subgroups},
  author={Oleg Yu and Volker Runde and Nico Spronk},
  year={2003}
}
We investigate if, for a locally compact group G, the Fourier algebra A(G) is biflat in the sense of quantized Banach homology. A central rôle in our investigation is played by the notion of an approximate indicator of a closed subgroup of G: The Fourier algebra is operator biflat whenever the diagonal in G×G has an approximate indicator. Although we have been unable to settle the question of whether A(G) is always operator biflat, we show that, for G = SL(3, C), the diagonal in G×G fails to… CONTINUE READING