225 citations · 1.1k across the 38 of their papers we have counts for
39 papers
Subfactors and Mathematical Physics
David E. Evans, Yasuyuki Kawahigashi
This paper surveys the long-standing connections and impact between Vaughan Jones's theory of subfactors and various topics in mathematical physics, namely statistical mechanics,qu…
-induction for bi-unitary connections
Yasuyuki Kawahigashi
The tensor functor called -induction arises from a Frobenius algebra object, or a Q-system, in a braided unitary fusion category. In the operator algebraic language, it gives ex…
A characterization of a finite-dimensional commuting square producing a subfactor of finite depth
Yasuyuki Kawahigashi
We give a characterization of a finite-dimensional commuting square of C*-algebras with a normalized trace that produces a hyperfinite type II_1 subfactor of finite index and finit…
Two-dimensional topological order and operator algebras
Yasuyuki Kawahigashi
We review recent interactions between mathematical theory of two-dimensional topological order and operator algebras, particularly the Jones theory of subfactors. The role of repre…
Projector Matrix Product Operators, Anyons and Higher Relative Commutants of Subfactors
Yasuyuki Kawahigashi
A bi-unitary connection in subfactor theory of Jones producing a subfactor of finite depth gives a 4-tensor appearing in a recent work of Bultinck-Mariena-Williamson-Sahinoglu-Haeg…
A remark on matrix product operator algebras, anyons and subfactors
Yasuyuki Kawahigashi
We show that the mathematical structures in a recent work of Bultinck-Mariena-Williamson-Sahinoglu-Haegemana-Verstraete are the same as those of flat symmetric bi-unitary connectio…