The standard invariant is an object that classifies a fairly general class of subfactors and was reformulated by Vaughan Jones as 'planar algebras'. We compute the planar algebra of two families of subfactors arising out of actions of finitely generated groups on a II 1 factor in an attempt to see whether this class can be enlarged. This is a joint work with Dietmar Bisch and Shamindra Ghosh.
","abstract_html":"<p>The standard invariant is an object that classifies a fairly general class of subfactors and was reformulated by Vaughan Jones as 'planar algebras'. We compute the planar algebra of two families of subfactors arising out of actions of finitely generated groups on a II 1 factor in an attempt to see whether this class can be enlarged. This is a joint work with Dietmar Bisch and Shamindra Ghosh.</p>","abstract_has_math":false,"creators":["Das, Paramita"],"institution":null,"degree_name":"Doctor of Philosophy","degree_level":"Dissertation","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2008,"date_issued":"2008-01-01T08:00:00Z","date_published":"2008-01-01T08:00:00Z","updated_at":"2026-07-24T05:22:25Z","subjects":["Mathematics"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://scholars.unh.edu/dissertation/442","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Das, Paramita"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Doctor of Philosophy"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Mathematics"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://scholars.unh.edu/dissertation/442"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The standard invariant is an object that classifies a fairly general class of subfactors and was reformulated by Vaughan Jones as 'planar algebras'. We compute the planar algebra of two families of subfactors arising out of actions of finitely generated groups on a II 1 factor in an attempt to see whether this class can be enlarged. This is a joint work with Dietmar Bisch and Shamindra Ghosh.
"]},{"key":"dc:title","label":"Title","values":["Planar algebra of families of subfactors"]}]}],"canonical_facts":{"dc:creator":["Das, Paramita"],"dc:description.abstract":["The standard invariant is an object that classifies a fairly general class of subfactors and was reformulated by Vaughan Jones as 'planar algebras'. We compute the planar algebra of two families of subfactors arising out of actions of finitely generated groups on a II 1 factor in an attempt to see whether this class can be enlarged. This is a joint work with Dietmar Bisch and Shamindra Ghosh.
"],"dc:identifier":["https://scholars.unh.edu/dissertation/442"],"dc:subject":["Mathematics"],"dc:title":["Planar algebra of families of subfactors"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Doctor of Philosophy"]},"updated_at":"2026-07-24T05:22:25Z"}