Etale equivalence relations with certain prescribed torsion in their homology
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909593557270528 |
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| author | Ala, Michael Francesco Liao, Hung-Chang Tikuisis, Aaron |
| author_facet | Ala, Michael Francesco Liao, Hung-Chang Tikuisis, Aaron |
| contents | Given a non-cyclic simple dimension group D and a subgroup E of Q/Z, we produce a minimal étale equivalence relation R such that H_0(\R) is isomorphic to D \oplus E, where H_0(R) denotes the zeroth homology group of R. The equivalence relation R arises by combining tail-equivalence on a Bratteli diagram with a partial homeomorphism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_17914 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Etale equivalence relations with certain prescribed torsion in their homology Ala, Michael Francesco Liao, Hung-Chang Tikuisis, Aaron Dynamical Systems Operator Algebras Given a non-cyclic simple dimension group D and a subgroup E of Q/Z, we produce a minimal étale equivalence relation R such that H_0(\R) is isomorphic to D \oplus E, where H_0(R) denotes the zeroth homology group of R. The equivalence relation R arises by combining tail-equivalence on a Bratteli diagram with a partial homeomorphism. |
| title | Etale equivalence relations with certain prescribed torsion in their homology |
| topic | Dynamical Systems Operator Algebras |
| url | https://arxiv.org/abs/2504.17914 |