The stable uniqueness theorem for unitary tensor category equivariant KK-theory
Operator Algebras
2026-03-16 v2 K-Theory and Homology
Quantum Algebra
Abstract
We introduce the Cuntz-Thomsen picture of -equivariant Kasparov theory, denoted , for a unitary tensor category with countably many isomorphism classes of simple objects. We use this description of to prove the stable uniqueness theorem in this setting.
Keywords
Cite
@article{arxiv.2410.23935,
title = {The stable uniqueness theorem for unitary tensor category equivariant KK-theory},
author = {Sergio Girón Pacheco and Kan Kitamura and Robert Neagu},
journal= {arXiv preprint arXiv:2410.23935},
year = {2026}
}