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math.OA2016★ 71 cited
Operator algebras in rigid C*-tensor categories
Corey Jones, David Penneys
In this article, we define operator algebras internal to a rigid C*-tensor category . A C*/W*-algebra object in is an algebra object in $\op…
math.QA2016★ 4 cited
Planar algebras in braided tensor categories
André Henriques, David Penneys, James Tener
We generalize Jones' planar algebras by internalising the notion to a pivotal braided tensor category . To formulate the notion, the planar tangles are now equipped wi…