71 citations · 232 across the 20 of their papers we have counts for
29 papers
Local topological order and boundary algebras
Corey Jones, Pieter Naaijkens, David Penneys +1
We introduce a set of axioms for locally topologically ordered quantum spin systems in terms of nets of local ground state projections, and we show they are satisfied by Kitaev's T…
DHR bimodules of quasi-local algebras and symmetric quantum cellular automata
Corey Jones
For a net of C*-algebras on a discrete metric space, we introduce a bimodule version of the DHR tensor category and show it is an invariant of quasi-local algebras under isomorphis…
Unitary connections on Bratteli diagrams
Paramita Das, Mainak Ghosh, Shamindra Ghosh +1
In this paper, we extend Ocneanu's theory of connections on graphs to define a 2-category whose 0-cells are tracial Bratteli diagrams, and whose 1-cells are generalizations of unit…
Composing topological domain walls and anyon mobility
Peter Huston, Fiona Burnell, Corey Jones +1
Topological domain walls separating 2+1 dimensional topologically ordered phases can be understood in terms of Witt equivalences between the UMTCs describing anyons in the bulk top…
K-theoretic classification of inductive limit actions of fusion categories on AF-algebras
Quan Chen, Roberto Hernández Palomares, Corey Jones
We introduce a K-theoretic invariant for actions of unitary fusion categories on unital C*-algebras. We show that for inductive limits of finite dimensional actions of fusion categ…
A categorical Connes'
Quan Chen, Corey Jones, David Penneys
Popa introduced the tensor category of approximately inner, centrally trivial bimodules of a factor , generalizing Connes' . We extend Popa's no…