4 citations · 20 across the 19 of their papers we have counts for
7 papers · 1 filter
Rigidity of non-negligible objects of moderate growth in braided categories
Pavel Etingof, David Penneys
Let be a field, and let be a Cauchy complete -linear braided category with finite dimensional morphism spaces and . We call an indecompos…
The Classification of Fusion 2-Categories
Thibault D. Décoppet, Peter Huston, Theo Johnson-Freyd +5
We classify (multi)fusion 2-categories in terms of braided fusion categories and group cohomological data. This classification is homotopy coherent -- we provide an equivalence bet…
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…
Superselection sectors for posets of von Neumann algebras
Anupama Bhardwaj, Tristen Brisky, Chian Yeong Chuah +4
We study a commutant-closed collection of von Neumann algebras acting on a common Hilbert space indexed by a poset with an order-reversing involution. We give simple geometric axio…
Manifestly unitary higher Hilbert spaces
Quan Chen, Giovanni Ferrer, Brett Hungar +2
Higher idempotent completion gives a formal inductive construction of the -category of finite dimensional -vector spaces starting with the complex numbers. We propose a manif…
Dagger -categories
Giovanni Ferrer, Brett Hungar, Theo Johnson-Freyd +8
Category theory provides a unified language for organizing composable operations in many disciplines. In disciplines where unitarity is fundamental -- such as functional analysis,…