4 citations · 15 across the 6 of their papers we have counts for
7 papers · 1 filter
Compact Quantum Metric Spaces from Free Graph Algebras
Konrad Aguilar, Michael Hartglass, David Penneys
Starting with a vertex-weighted pointed graph , we form the free loop algebra defined in Hartglass-Penneys' article on canonical -algebras assoc…
Representations of fusion categories and their commutants
André Henriques, David Penneys
A bicommutant category is a higher categorical analog of a von Neumann algebra. We study the bicommutant categories which arise as the commutant of a fully faithful…
The module embedding theorem via towers of algebras
Desmond Coles, Peter Huston, David Penneys +1
Jones and Penneys showed that a finite depth subfactor planar algebra embeds in the bipartite graph planar algebra of its principal graph, via a Markov towers of algebras approach.…
Lifting shadings on symmetrically self-dual subfactor planar algebras
Zhengwei Liu, Scott Morrison, David Penneys
In this note, we discuss the notion of symmetric self-duality of shaded planar algebras, which allows us to lift shadings on subfactor planar algebras to obtain Z/2Z-graded unitary…
Q-systems and compact W*-algebra objects
Corey Jones, David Penneys
We show that given a rigid C*-tensor category, there is an equivalence of categories between normalized irreducible Q-systems, also known as connected unitary Frobenius algebra obj…
The generator conjecture for subfactor planar algebras
Zhengwei Liu, David Penneys
We state a conjecture for the formulas of the depth 4 low-weight rotational eigenvectors and their corresponding eigenvalues for the subfactor planar algebras. We prove the c…