The stable uniqueness theorem for unitary tensor category equivariant KK-theory
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911510024945664 |
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| author | Pacheco, Sergio Girón Kitamura, Kan Neagu, Robert |
| author_facet | Pacheco, Sergio Girón Kitamura, Kan Neagu, Robert |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_23935 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The stable uniqueness theorem for unitary tensor category equivariant KK-theory Pacheco, Sergio Girón Kitamura, Kan Neagu, Robert Operator Algebras K-Theory and Homology Quantum Algebra 19K35, 46L35, 46L37, 46L55 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. |
| title | The stable uniqueness theorem for unitary tensor category equivariant KK-theory |
| topic | Operator Algebras K-Theory and Homology Quantum Algebra 19K35, 46L35, 46L37, 46L55 |
| url | https://arxiv.org/abs/2410.23935 |