Title of article
Unshaded planar algebras and their associated II1 factors
Author/Authors
Arnaud Brothier، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2012
Pages
33
From page
3839
To page
3871
Abstract
Guionnet et al. gave a construction of a II1 factor associated to a subfactor planar algebra. In this paper
we define an unshaded planar algebra. To any unshaded planar algebra P we associate a finite von Neumann
algebra MP. We prove that MP is a II1 factor that contains a generic maximal abelian subalgebra called
the cup subalgebra.
© 2012 Elsevier Inc. All rights reserved
Keywords
Planar algebras , Maximal abelian subalgebras , Free probability , von Neumann algebras
Journal title
Journal of Functional Analysis
Serial Year
2012
Journal title
Journal of Functional Analysis
Record number
840720
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