On the $K$-theory in splitexact algebraic $KK$-theory
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866914965670068224 |
|---|---|
| author | Burgstaller, Bernhard |
| author_facet | Burgstaller, Bernhard |
| contents | It is proven that in the universal splitexact equivariant algebraic $KK$-theory for algebras, the $K$-theory groups coincide with classical $K$-theory in the sense of Phillips. This partially answers a question raised by Kasparov. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_04150 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the $K$-theory in splitexact algebraic $KK$-theory Burgstaller, Bernhard K-Theory and Homology 19K35, 19A49, 19L47 It is proven that in the universal splitexact equivariant algebraic $KK$-theory for algebras, the $K$-theory groups coincide with classical $K$-theory in the sense of Phillips. This partially answers a question raised by Kasparov. |
| title | On the $K$-theory in splitexact algebraic $KK$-theory |
| topic | K-Theory and Homology 19K35, 19A49, 19L47 |
| url | https://arxiv.org/abs/2410.04150 |