An orthogonal approach to the subfactor of a planar algebra

Pacific Journal of Mathematics

Volumn 246, Issue 1, 2010, Pages 187-197

  Jones, Vaughan ^a   Shlyakhtenko, Dimitri ^b   Walker, Kevin ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Free probability; Planar algebra; Subfactor

Indexed keywords

EID: 77954128086     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.2010.246.187     Document Type: Article

References (6)

1. A. Guionnet, V. F. R. Jones, and D. Shlyakhtenko, "Random matrices, free probability, planar algebras and subfactors", preprint, 2007.
2. V. F. R. Jones, "Index for subfactors", Invent. Math. 72:1 (1983), 1-25.
3. V. Jones, "Planar algebras", preprint, University of California, Berkeley, 1999, available at http://www.math.berkeley.edu/~vfr/plnalg1.ps.
4. V. Kodiyalam and V. S. Sunder, "From subfactor planar algebras to subfactors", Internat. J. Math. 20:10 (2009), 1207-1231.
5. S. Popa, "An axiomatization of the lattice of higher relative commutants of a subfactor", Invent. Math. 120:3 (1995), 427-445.
6. D. Voiculescu, "Symmetries of some reduced free product C*-algebras", pp. 556-588 in Operator algebras and their connections with topology and ergodic theory (Buşteni, 1983), edited by H. Araki et al., Lecture Notes in Math. 1132, Springer, Berlin, 1985.