$L^{2}$-von Neumann modules, their relative tensor products and the spatial derivative
Falcone, Tony
Illinois J. Math., Tome 44 (2000) no. 4, p. 407-437 / Harvested from Project Euclid
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We develop a theory of $L^{2}$-von Neumann modules, which encompasses a reformulation of Connes' Spatial Derivative, and the Relative Tensor Product of Sauvageot. We demonstrate the naturality of the relative tensor product construction in the category of $L^{2}$-von Neumann bimodules. Finally, we give evidence for the claim that the relative tensor product is essentially the only tensor product which should be used when considering this tensor category.
Publié le : 2000-06-15
Classification:  46L06,  46L10,  46L51 
@article{1255984848,
     author = {Falcone, Tony},
     title = {$L^{2}$-von Neumann modules, their relative tensor products and the spatial derivative},
     journal = {Illinois J. Math.},
     volume = {44},
     number = {4},
     year = {2000},
     pages = { 407-437},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255984848}
}

Falcone, Tony. $L^{2}$-von Neumann modules, their relative tensor products and the spatial derivative. Illinois J. Math., Tome 44 (2000) no. 4, pp.  407-437. http://gdmltest.u-ga.fr/item/1255984848/