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math.OA2025
Every conformal net has an associated unitary VOA
André G. Henriques, James E. Tener
Unitary vertex operator algebras (VOAs) and conformal nets are the two most prominent mathematical axiomatizations of two-dimensional unitary chiral conformal field theories. They…
math.OA2025
A three-functor formalism for commutative von Neumann algebras
Andre G. Henriques, Thomas A. Wasserman
A three-functor formalism is the half of a six-functor formalism that supports the projection and base change formulas. In this paper, we provide a three-functor formalism for comm…
math.OA2024
Complete W*-categories
André Henriques, Nivedita, David Penneys
We study -categories, and explain the ways in which complete -categories behave like categorified Hilbert spaces. Every -category admi…