## Normalizers of irreducible subfactors

*Abstract:* We consider normalizers of an infinite index irreducible inclusion N\subseteq M of II_{1} factors. Unlike the finite index setting, an inclusion uNu*\subseteq N can be strict, forcing us to also investigate the semigroup of one sided normalizers. We relate these one sided normalizers of N in M to projections in the basic construction and show that every trace one projection in the relative commutant N'\cap ^{2}(G) as double cosets which are also finite unions of left cosets.

### Publication Details

*Coauthors:* Roger Smith and Alan Wiggins

J. Math. Anal. Appl., 352 (2009), 684-695. DOI: 10.1016/j.jmaa.2008.11.019

*Download:* Journal Website, Glasgow ePrint:25305.

The Glasgow ePrint version is that accepted by the journal. A few minor typos where corrected at the page proof stage and are not reflected in the ePrint version. An early version of this paper can also be found at the arXiv. The arXiv version, contains sections removed from the final version and is not definitive.

## Ingles Clark Ridge, Glen Coe

The first of a series of cold winters. Glen Coe, December 2008.