Automorphisms of Bipartite Graph planar Algebras and their subfactor planar algebras[HBNI MSc 7]

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Automorphisms of Bipartite Graph planar Algebras and their subfactor planar algebras[HBNI MSc 7]

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dc.contributor.author Kajal Das
dc.date.accessioned 2012-07-17T05:52:14Z
dc.date.available 2012-07-17T05:52:14Z
dc.date.issued 2012-07-17T05:52:14Z
dc.date.submitted 2011
dc.identifier.uri http://hdl.handle.net/123456789/323
dc.description.abstract The concept of a Bipartite Graph Planar Algebra (BGPA) corresponding to a uniformly locally finite bipartite graph with a uniformly bounded spin function as well as the automorphism group of this planar algebra, is studied in this thesis. This has its origins in [J2] and [B]. It is shown that this group is isomorphic to the semidirect product of two special types of subgroups which are easily computable from the bipartite graph. We are interested in those group actions whose fixed point subalgebras are Subfactor Planar Algebras (SPAs) because new SPAs will produce new subfactors. Finally it is shown that the SPA of a ‘diagonal subfactor without cocycle’ can be obtatined by this fixed point technique. en_US
dc.publisher.publisher
dc.subject Planar Algebras en_US
dc.subject Bipartite Graphs en_US
dc.subject HBNI MSc 7 en_US
dc.title Automorphisms of Bipartite Graph planar Algebras and their subfactor planar algebras[HBNI MSc 7] en_US
dc.type.degree M.Sc en_US
dc.type.institution HBNI en_US
dc.description.advisor Sunder, V. S.
dc.description.pages 54p. en_US
dc.type.mainsub Mathematics en_US

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