Geodesic
A remark about the Connes fusion tensor product
Theory and applications of categories, Tome 25 (2011), pp. 38-50 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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We analyze the algebraic structure of the Connes fusion tensor product (CFTP) in the case of bi-finite Hilbert modules over a von Neumann algebra M. It turns out that all complications in its definition disappear if one uses the closely related bi-modules of bounded vectors. We construct an equivalence of monoidal categories with duality between a category of Hilbert bi-modules over M with CFTP and some natural category of bi-modules over M with the usual relative algebraic tensor product.

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Classification : 46LXX, 16DXX
Keywords: Connes fusion tensor product, von Neumann algebras 
@article{TAC_2011_25_a1,
     author = {Andreas Thom},
     title = {A remark about the {Connes} fusion tensor product},
     journal = {Theory and applications of categories},
     pages = {38--50},
     year = {2011},
     volume = {25},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2011_25_a1/}
}
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Andreas Thom. A remark about the Connes fusion tensor product. Theory and applications of categories, Tome 25 (2011), pp. 38-50. http://geodesic.mathdoc.fr/item/TAC_2011_25_a1/