The classification of subfactors of index at most 5
V Jones, S Morrison, N Snyder - Bulletin of the American Mathematical …, 2014 - ams.org
A subfactor is an inclusion $ N\subset M $ of von Neumann algebras with trivial centers. The
simplest example comes from the fixed points of a group action $ M^ G\subset M $, and …
simplest example comes from the fixed points of a group action $ M^ G\subset M $, and …
Q-system completion for C⁎ 2-categories
A Q-system in a C⁎ 2-category is a unitary version of a separable Frobenius algebra object
and can be viewed as a unitary version of a higher idempotent. We define a higher unitary …
and can be viewed as a unitary version of a higher idempotent. We define a higher unitary …
[图书][B] The Classification of Subfactors with Index at Most 5\frac {1} 4
N Afzaly, S Morrison, D Penneys - 2023 - ams.org
Subfactor standard invariants encode quantum symmetries. The small index subfactor
classification program has been a rich source of interesting quantum symmetries. We give …
classification program has been a rich source of interesting quantum symmetries. We give …
The classification of subfactors with index at most
N Afzaly, S Morrison, D Penneys - arXiv preprint arXiv:1509.00038, 2015 - arxiv.org
Subfactor standard invariants encode quantum symmetries. The small index subfactor
classification program has been a rich source of interesting quantum symmetries. We give …
classification program has been a rich source of interesting quantum symmetries. We give …
1-Supertransitive Subfactors with Index at Most
An irreducible II 1-subfactor A ⊂ BA⊂ B is exactly 1-supertransitive if B ⊖ AB⊖ A is
reducible as an A− A bimodule. We classify exactly 1-supertransitive subfactors with index at …
reducible as an A− A bimodule. We classify exactly 1-supertransitive subfactors with index at …
Examples of subfactors from conformal field theory
F Xu - Communications in Mathematical Physics, 2018 - Springer
Conformal field theory (CFT) in two dimensions provides a rich source of subfactors. The fact
that there are so many subfactors coming from CFT have led people to conjecture that …
that there are so many subfactors coming from CFT have led people to conjecture that …
Complete Positivity of Comultiplication and Primary Criteria for Unitary Categorification
In this paper, we investigate quantum Fourier analysis on subfactors and unitary fusion
categories. We prove the complete positivity of the comultiplication for subfactors and derive …
categories. We prove the complete positivity of the comultiplication for subfactors and derive …
Block maps and Fourier analysis
We introduce block maps for subfactors and study their dynamic systems. We prove that the
limit points of the dynamic system are positive multiples of biprojections and zero. For the ℤ …
limit points of the dynamic system are positive multiples of biprojections and zero. For the ℤ …
[HTML][HTML] 2-supertransitive subfactors at index 3+ 5
S Morrison, D Penneys - Journal of Functional Analysis, 2015 - Elsevier
We introduce a new method for showing that a planar algebra is evaluable. In fact, this
method is universal for finite depth subfactor planar algebras. By making careful choices in …
method is universal for finite depth subfactor planar algebras. By making careful choices in …
Classification of Z= 2Z-quadratic unitary fusion categories
MI Cain Edie-Michell, D Penneys - 2024 - ems.press
A unitary fusion category is called Z= 2Z-quadratic if it has a Z= 2Z group of invertible objects
and one other orbit of simple objects under the action of this group. We give a complete …
and one other orbit of simple objects under the action of this group. We give a complete …