3 papers
math.CT2017★ 4 cited
Monoidal categories enriched in braided monoidal categories
Scott Morrison, David Penneys
We introduce the notion of a monoidal category enriched in a braided monoidal category . We set up the basic theory, and prove a classification result in terms of braid…
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…
math.OA2014
Infinite index subfactors and the GICAR categories
Vaughan F. R. Jones, David Penneys
Given a II-subfactor of arbitrary index, we show that the rectangular GICAR category, also called the rectangular planar rook category, faithfully embeds as …