Corner embeddings into algebras of compact operators in $K$-theory
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arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866929683026673664 |
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| author | Burgstaller, Bernhard |
| author_facet | Burgstaller, Bernhard |
| contents | We show that in $K$-theory-like categories many corner embeddings into a discrete algebra of compact operators are invertible, and consequently functors on splitexact algebraic $KK$-theory are faithful if and only if they are faithful on the subcategory generated by the homomorphisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_11504 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Corner embeddings into algebras of compact operators in $K$-theory Burgstaller, Bernhard K-Theory and Homology 16D10, 16D40, 19A13, 55P10, 19K35 We show that in $K$-theory-like categories many corner embeddings into a discrete algebra of compact operators are invertible, and consequently functors on splitexact algebraic $KK$-theory are faithful if and only if they are faithful on the subcategory generated by the homomorphisms. |
| title | Corner embeddings into algebras of compact operators in $K$-theory |
| topic | K-Theory and Homology 16D10, 16D40, 19A13, 55P10, 19K35 |
| url | https://arxiv.org/abs/2501.11504 |