(Semi)topological $K$-theory via solidification
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929483613732864 |
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| author | Aoki, Ko |
| author_facet | Aoki, Ko |
| contents | Clausen--Scholze introduced the notion of solid spectrum in their condensed mathematics program. We demonstrate that the solidification of algebraic $K$-theory recovers two known constructions: the semitopological $K$-theory of a real (associative) algebra and the topological (aka operator) $K$-theory of a real Banach algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_01462 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | (Semi)topological $K$-theory via solidification Aoki, Ko K-Theory and Homology Operator Algebras Rings and Algebras Clausen--Scholze introduced the notion of solid spectrum in their condensed mathematics program. We demonstrate that the solidification of algebraic $K$-theory recovers two known constructions: the semitopological $K$-theory of a real (associative) algebra and the topological (aka operator) $K$-theory of a real Banach algebra. |
| title | (Semi)topological $K$-theory via solidification |
| topic | K-Theory and Homology Operator Algebras Rings and Algebras |
| url | https://arxiv.org/abs/2409.01462 |