Remarks on the similarity degree of an operator algebra Academic Article uri icon


  • 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 II1 factor with property is at most 5, improving on a previous bound ( 44) due to E. Christensen.

published proceedings


author list (cited authors)

  • Pisier, G.

citation count

  • 18

complete list of authors

  • Pisier, G

publication date

  • June 2001