Strong Singularity for Subfactors

Details Strong Singularity for Subfactors Strong Singularity for Subfactors

2007-03-22

arxiv.org/abs/math/0703673v3

Mathematics

Operator Algebras

18 pages, enhanced with a counterexample to singularity implies strong singularity

Scientific paper

We examine the notion of $\alpha$-strong singularity for subfactors of a \IIi factor, which is a metric quantity that relates the distance between a unitary in the factor and a subalgebra with the distance between that subalgebra and its unitary conjugate. Through planar algebra techniques, we demonstrate the existence of a finite index singular subfactor of the hyperfinite \IIi factor that cannot be strongly singular with $\alpha=1$, in contrast to the case for masas. Using work of Popa, Sinclair, and Smith, we show that there exists an absolute constant $0

Affiliated with

Also associated with

No associations

Rating

Strong Singularity for Subfactors does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Strong Singularity for Subfactors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Strong Singularity for Subfactors will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-168540