The stable uniqueness theorem for unitary tensor category equivariant KK-theory
Abstract
We introduce the Cuntz-Thomsen picture of $\mathcal{C}$-equivariant Kasparov theory, denoted $\mathrm{KK}^\mathcal{C}$, for a unitary tensor category $\mathcal{C}$ with countably many isomorphism classes of simple objects. We use this description of $\mathrm{KK}^\mathcal{C}$ to prove the stable uniqueness theorem in this setting.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Advanced Topics in Algebra
Pituitary Gland Disorders and Treatments
Publication details
- Journal / source
- Advances in Mathematics
- Volume
- 493
- Pages
- 110912–110912
- Publication date
- 12 March 2026
- Language
- EN