On the quantitative coarse Baum-Connes conjecture with coefficients
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917804613042176 |
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| author | Zhang, Jianguo |
| author_facet | Zhang, Jianguo |
| contents | In this paper, we introduce the quantitative coarse Baum-Connes conjecture with coefficients (or QCBC, for short) for proper metric spaces which refines the coarse Baum-Connes conjecture. And we prove that QCBC is derived by the coarse Baum-Connes conjecture with coefficients which provides many examples satisfying QCBC. In the end, we show QCBC can be reduced to the uniformly quantitative coarse Baum-Connes conjecture with coefficients of a sequence of bounded metric spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_11929 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the quantitative coarse Baum-Connes conjecture with coefficients Zhang, Jianguo Operator Algebras K-Theory and Homology In this paper, we introduce the quantitative coarse Baum-Connes conjecture with coefficients (or QCBC, for short) for proper metric spaces which refines the coarse Baum-Connes conjecture. And we prove that QCBC is derived by the coarse Baum-Connes conjecture with coefficients which provides many examples satisfying QCBC. In the end, we show QCBC can be reduced to the uniformly quantitative coarse Baum-Connes conjecture with coefficients of a sequence of bounded metric spaces. |
| title | On the quantitative coarse Baum-Connes conjecture with coefficients |
| topic | Operator Algebras K-Theory and Homology |
| url | https://arxiv.org/abs/2410.11929 |