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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.07212 |
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| _version_ | 1866910643583451136 |
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| author | Haag, Ulrich |
| author_facet | Haag, Ulrich |
| contents | The article gives the second part of the treatise on Regular Algebraic $K$-theory (Sections V & VI) of the author. Regular algebraic $K$-theory for groups is a homology theory for discrete groups closely connected to (but different from) ordinary group homology. It also gives a version of algebraic $K$-theory for rings by the simple functorial mapping assigning to the ring $R$ the (perfect) commutator subgroup $E ( R )$ of the infinitedimensional general linear group over $R$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_07212 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Regular Algebraic $K$-Theory for groups -- Part II Haag, Ulrich K-Theory and Homology 20E99 The article gives the second part of the treatise on Regular Algebraic $K$-theory (Sections V & VI) of the author. Regular algebraic $K$-theory for groups is a homology theory for discrete groups closely connected to (but different from) ordinary group homology. It also gives a version of algebraic $K$-theory for rings by the simple functorial mapping assigning to the ring $R$ the (perfect) commutator subgroup $E ( R )$ of the infinitedimensional general linear group over $R$. |
| title | Regular Algebraic $K$-Theory for groups -- Part II |
| topic | K-Theory and Homology 20E99 |
| url | https://arxiv.org/abs/2410.07212 |