Geodesic
A CONTINUUM OF C*-NORMS ON ${\mathbb B}$(H) ⊗ ${\mathbb B}$(H) AND RELATED TENSOR PRODUCTS
Glasgow mathematical journal, Tome 58 (2016) no. 2, pp. 433-443

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DOI

For any pair M, N of von Neumann algebras such that the algebraic tensor product M ⊗ N admits more than one C*-norm, the cardinal of the set of C*-norms is at least 2א0. Moreover, there is a family with cardinality 2א0 of injective tensor product functors for C*-algebras in Kirchberg's sense. Let ${\mathbb B}$=∏nMn. We also show that, for any non-nuclear von Neumann algebra M⊂ ${\mathbb B}$(l2), the set of C*-norms on ${\mathbb B}$ ⊗ M has cardinality equal to 22א0. 
OZAWA, NARUTAKA; PISIER, GILLES. A CONTINUUM OF C*-NORMS ON ${\mathbb B}$(H) ⊗ ${\mathbb B}$(H) AND RELATED TENSOR PRODUCTS. Glasgow mathematical journal, Tome 58 (2016) no. 2, pp. 433-443. doi: 10.1017/S0017089515000257
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     author = {OZAWA, NARUTAKA and PISIER, GILLES},
     title = {A {CONTINUUM} {OF} {C*-NORMS} {ON} ${\mathbb B}${(H)} \ensuremath{\otimes} ${\mathbb B}${(H)} {AND} {RELATED} {TENSOR} {PRODUCTS}},
     journal = {Glasgow mathematical journal},
     pages = {433--443},
     year = {2016},
     volume = {58},
     number = {2},
     doi = {10.1017/S0017089515000257},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089515000257/}
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