On the projectivity and flatness of some group modules

Volume 91 / 2010

Gerhard Racher Banach Center Publications 91 (2010), 315-325 MSC: 43A20, 46H25, 46M10. DOI: 10.4064/bc91-0-18


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 $L^{1}(G)$ whose projectivity resp. flatness implies the compactness resp. amenability of the locally compact group $G$.


  • Gerhard RacherUniversität Salzburg
    Hellbrunner Straße 34
    A-5020 Salzburg, Austria

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