Remarks on the similarity degree of an operator algebra
Pisier, Gilles
HAL, hal-00132909 / Harvested from HAL
Text on HAL
The "similarity" degree of a unital operator algebra $A$ was defined and studied in two recent papers of ours, where in particular we showed that it coincides with the "length" of an operator algebra. This paper brings several complements: we give direct proofs (with slight improvements) of several known facts on the length which were only known via the degree, and we show that the length of a type $II_1$ factor with property $\Gamma$ is at most 5, improving on a previous bound ($\le 44$) due to E. Christensen.
Publié le : 2001-07-05
Classification:  [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA],  [MATH.MATH-OA]Mathematics [math]/Operator Algebras [math.OA] 
@article{hal-00132909,
     author = {Pisier, Gilles},
     title = {Remarks on the similarity degree of an operator algebra},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00132909}
}

Pisier, Gilles. Remarks on the similarity degree of an operator algebra. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00132909/