|
|||||
|
|
Operator biflatness of the Fourier algebra and approximate indicators for subgroups |
|
| Authors: | Oleg Yu Aristov Volker Runde Nico Spronk |
| Institution: | a Obninsk Institute of Nuclear Power Engineering, Studgorodok-1, 249040 Obninsk, Russia b Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1 c Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA |
| Abstract: | 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  , the diagonal in G×G fails to have an approximate indicator. |
| Keywords: | 22D25 (primary) 22E10 43A30 46L07 46L89 46M18 47L25 47L50 |
| 本文献已被 ScienceDirect 等数据库收录！ | |