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arXiv:2410.23935 [math.OA]AbstractReferencesReviewsResources

The stable uniqueness theorem for unitary tensor category equivariant KK-theory

Sergio Girón Pacheco, Kan Kitamura, Robert Neagu

Published 2024-10-31Version 1

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.

Categories: math.OA, math.KT, math.QA
Subjects: 19K35, 46L35, 46L37, 46L55
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