71 citations · 368 across the 51 of their papers we have counts for
4 papers · 2 filters
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 …
2-supertransitive subfactors at index
Scott Morrison, David Penneys
This article proves the existence and uniqueness of a subfactor planar algebra with principal graph consisting of a diamond with arms of length 2 at opposite sides, which we call 2…
Subfactors of index exactly 5
Masaki Izumi, Scott Morrison, David Penneys +2
We give the classification of subfactor planar algebras at index exactly 5. All the examples arise as standard invariants of subgroup subfactors. Some of the requisite uniqueness r…
-algebras from planar algebras I: canonical -algebras associated to a planar algebra
Michael Hartglass, David Penneys
From a planar algebra, we give a functorial construction to produce numerous associated -algebras. Our main construction is a Hilbert -bimodule with a canonical real subs…