An Elliott intertwining approach to classifying actions of C$^*$-tensor categories
Operator Algebras
2026-04-09 v3 Quantum Algebra
Abstract
We introduce a categorical approach to classifying actions of C-tensor categories on C-algebras up to cocycle conjugacy. We show that, in this category, inductive limits exist and there is a natural notion of approximate unitary equivalence. Then, we generalise classical Elliott intertwining results to the -equivariant case, in the same fashion as done by Szab\'o for the group equivariant case in [39].
Keywords
Cite
@article{arxiv.2310.18125,
title = {An Elliott intertwining approach to classifying actions of C$^*$-tensor categories},
author = {Sergio Girón Pacheco and Robert Neagu},
journal= {arXiv preprint arXiv:2310.18125},
year = {2026}
}
Comments
Accepted version, J. Noncommut. Geom