## Duke Mathematical Journal

### Quadratic tangles in planar algebras

Vaughan F. R. Jones

#### Abstract

In planar algebras, we show how to project certain simple quadratic tangles onto the linear space spanned by linear and constant tangles. We obtain some corollaries about the principal graphs and annular structure of subfactors.

#### Article information

Source
Duke Math. J., Volume 161, Number 12 (2012), 2257-2295.

Dates
First available in Project Euclid: 6 September 2012

https://projecteuclid.org/euclid.dmj/1346936107

Digital Object Identifier
doi:10.1215/00127094-1723608

Mathematical Reviews number (MathSciNet)
MR2972458

Zentralblatt MATH identifier
1257.46033

#### Citation

Jones, Vaughan F. R. Quadratic tangles in planar algebras. Duke Math. J. 161 (2012), no. 12, 2257--2295. doi:10.1215/00127094-1723608. https://projecteuclid.org/euclid.dmj/1346936107

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