2002/03/31 by Oleg Yu. Aristov, Volker Runde, Nico Spronk
Mathematics · #math.FA #math.KT #math.OA #msc:22D25 #msc:22E10 #msc:43A30 #msc:46L07 #msc:46L89 #msc:46M18 #msc:47L25 #msc:47L50
published as J. Funct. Anal. 209 (2004), 367-387 · 23 pages; more typos removed; references updated
arxiv created 2003/04/10 · arxiv updated 2009/11/30
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 role 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 have an approximate indicator.