Remarks on the similarity degree of an operator algebra
| dc.creator | Pisier, Gilles | |
| dc.date | 2000-09-06 | |
| dc.date | 2000-10-05 | |
| dc.date.accessioned | 2026-07-07T04:37:12Z | |
| dc.date.available | 2026-07-07T04:37:12Z | |
| dc.description | 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 $Γ$ is at most 5, improving on a previous bound ($\le 44$) due to E. Christensen. | |
| dc.identifier | https://arxiv.org/abs/math/0009052 | |
| dc.identifier | http://arxiv.org/abs/math/0009052 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59869 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.subject | 46 L 07, 46 K 99 | |
| dc.title | Remarks on the similarity degree of an operator algebra | |
| dc.type | text |