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An orthogonal
approach to the subfactor of a planar algebra
Vaughan Jones, Dimitri Shlyakhtenko and Kevin Walker |
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Vol. 246 (2010), No. 1, 187–197
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Abstract |
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By changing to an orthogonal basis, we give a short proof that the subfactor of the graded algebra of a planar algebra reproduces the planar algebra. |
Keywords
planar algebra, subfactor, free probability
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Mathematical Subject Classification 2000
Primary: 46L37
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Milestones
Received: 1 July 2009
Accepted: 25 February 2010
Published: 1 May 2010
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Authors |
| Vaughan Jones | |
| Department of Mathematics University of California Berkeley, CA 94720 United States |
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| http://math.berkeley.edu/~vfr/ | |
| Dimitri Shlyakhtenko | |
| Department of Mathematics University of California Los Angeles, CA 90095 United States |
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| http://www.math.ucla.edu/~shlyakht/ | |
| Kevin Walker | |
| Microsoft Station Q University of California Santa Barbara, CA 93106 United States |
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| http://canyon23.net/math/ | |
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