Algèbres de von Neumann finies ayant la propriété de Haagerup et semi-groupes L2-compacts
Jolissaint, Paul ; Martin, Florian
Bull. Belg. Math. Soc. Simon Stevin, Tome 11 (2004) no. 1, p. 35-48 / Harvested from Project Euclid
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The goal of this note is to characterize Haagerup property for finite von Neumann algebras in terms of $||.||_{2}$-continuous semi-group of completely positive $L^{2}$-compact maps. The generator of this semi-group could be interpreted as an analogue for von Neumann algebras having the Haagerup property of a proper conditionally negative definite map on a group having Haagerup property.
Publié le : 2004-03-14
Classification:  
@article{1080056158,
     author = {Jolissaint, Paul and Martin, Florian},
     title = {Alg\`ebres de von Neumann finies ayant la propri\'et\'e de Haagerup et
 semi-groupes L<sup>2</sup>-compacts},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {11},
     number = {1},
     year = {2004},
     pages = { 35-48},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/1080056158}
}

Jolissaint, Paul; Martin, Florian. Algèbres de von Neumann finies ayant la propriété de Haagerup et
 semi-groupes L2-compacts. Bull. Belg. Math. Soc. Simon Stevin, Tome 11 (2004) no. 1, pp.  35-48. http://gdmltest.u-ga.fr/item/1080056158/