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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.04117 |
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| _version_ | 1866915623369441280 |
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| author | Jaime, Arturo |
| author_facet | Jaime, Arturo |
| contents | This paper seeks to characterize some topological properties of pro-countable abelian topological groups. Using the Milnor exact sequence given by the controlled picture of $KK$-theory by Willett and Yu, we describe topological properties of the topological group $KK(A,B)$ with respect to the satisfaction of Mittag-Leffler and stability conditions of certain inverse systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_04117 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topology of KK-theory via inverse limits of discrete abelian groups Jaime, Arturo K-Theory and Homology Operator Algebras 19K35 This paper seeks to characterize some topological properties of pro-countable abelian topological groups. Using the Milnor exact sequence given by the controlled picture of $KK$-theory by Willett and Yu, we describe topological properties of the topological group $KK(A,B)$ with respect to the satisfaction of Mittag-Leffler and stability conditions of certain inverse systems. |
| title | Topology of KK-theory via inverse limits of discrete abelian groups |
| topic | K-Theory and Homology Operator Algebras 19K35 |
| url | https://arxiv.org/abs/2505.04117 |