Non-computability of $K$-theory for computably presented C*-algebras
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908838047776768 |
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| author | Eagle, Christopher J. Goldbring, Isaac McNicholl, Timothy H. Miller, Russell |
| author_facet | Eagle, Christopher J. Goldbring, Isaac McNicholl, Timothy H. Miller, Russell |
| contents | We give an example of a unital C*-algebra $\mathbf{A}$ with a computable presentation and for which neither $K_0(\mathbf{A})$ nor $K_1(\mathbf{A})$ has a computable presentation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_06877 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Non-computability of $K$-theory for computably presented C*-algebras Eagle, Christopher J. Goldbring, Isaac McNicholl, Timothy H. Miller, Russell Operator Algebras Logic We give an example of a unital C*-algebra $\mathbf{A}$ with a computable presentation and for which neither $K_0(\mathbf{A})$ nor $K_1(\mathbf{A})$ has a computable presentation. |
| title | Non-computability of $K$-theory for computably presented C*-algebras |
| topic | Operator Algebras Logic |
| url | https://arxiv.org/abs/2602.06877 |