In the sequel of the work of H. G. Dales and M. E. Polyakov we give a few more examples of modules over the Banach algebra L¹(G) whose projectivity resp. flatness implies the compactness resp. amenability of the locally compact group G.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc91-0-18, author = {Gerhard Racher}, title = {On the projectivity and flatness of some group modules}, journal = {Banach Center Publications}, volume = {89}, year = {2010}, pages = {315-325}, zbl = {1214.43005}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc91-0-18} }
Gerhard Racher. On the projectivity and flatness of some group modules. Banach Center Publications, Tome 89 (2010) pp. 315-325. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc91-0-18/