Remarks on the similarity degree of an operator algebra
Functional Analysis
2007-05-23 v2 Operator Algebras
Abstract
The "similarity" degree of a unital operator algebra 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 factor with property is at most 5, improving on a previous bound () due to E. Christensen.
Cite
@article{arxiv.math/0009052,
title = {Remarks on the similarity degree of an operator algebra},
author = {Gilles Pisier},
journal= {arXiv preprint arXiv:math/0009052},
year = {2007}
}