Geodesic
Biprojectivity and Biflatness for Convolution Algebras of Nuclear Operators
Canadian mathematical bulletin, Tome 47 (2004) no. 3, pp. 445-455

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DOI

For a locally compact group $G$ , the convolution product on the space $N({{L}^{p}}\ (G))$ of nuclear operators was defined by Neufang [11]. We study homological properties of the convolution algebra $N({{L}^{p}}\ (G))$ and relate them to some properties of the group $G$ , such as compactness, finiteness, discreteness, and amenability.
DOI : 10.4153/CMB-2004-044-6
Mots-clés : 46M10, 46H25, 43A20, 16E65 
Pirkovskii, A. Yu. Biprojectivity and Biflatness for Convolution Algebras of Nuclear Operators. Canadian mathematical bulletin, Tome 47 (2004) no. 3, pp. 445-455. doi: 10.4153/CMB-2004-044-6
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     author = {Pirkovskii, A. Yu.},
     title = {Biprojectivity and {Biflatness} for {Convolution} {Algebras} of {Nuclear} {Operators}},
     journal = {Canadian mathematical bulletin},
     pages = {445--455},
     year = {2004},
     volume = {47},
     number = {3},
     doi = {10.4153/CMB-2004-044-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2004-044-6/}
}
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