The K-theory of maximal and reduced Roe algebras for Hecke pairs with equivariant coarse embeddings
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866914300244787200 |
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| author | Guo, Liang Wang, Hang Yao, Xiufeng |
| author_facet | Guo, Liang Wang, Hang Yao, Xiufeng |
| contents | In this paper, we generalize the Dirac-dual-Dirac method to Hecke pairs with equivariant coarse embeddings and establish the K-theoretic isomorphisms between the maximal and reduced equivariant Roe algebras. We also extend these results to prove the Baum--Connes conjecture in this context. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_14682 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The K-theory of maximal and reduced Roe algebras for Hecke pairs with equivariant coarse embeddings Guo, Liang Wang, Hang Yao, Xiufeng K-Theory and Homology 58B34, 46L80 In this paper, we generalize the Dirac-dual-Dirac method to Hecke pairs with equivariant coarse embeddings and establish the K-theoretic isomorphisms between the maximal and reduced equivariant Roe algebras. We also extend these results to prove the Baum--Connes conjecture in this context. |
| title | The K-theory of maximal and reduced Roe algebras for Hecke pairs with equivariant coarse embeddings |
| topic | K-Theory and Homology 58B34, 46L80 |
| url | https://arxiv.org/abs/2601.14682 |