Measured groupoids beyond equivalence relations and group actions
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866918159789850624 |
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| author | Chakraborty, Soham |
| author_facet | Chakraborty, Soham |
| contents | We construct the first examples of genuine ergodic discrete measured groupoids that are not isomorphic to any equivalence relation or transformation groupoid. We use a construction due to B.H. Neumann of an uncountable family of pairwise non-isomorphic 2-generated groups for our result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_15147 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Measured groupoids beyond equivalence relations and group actions Chakraborty, Soham Group Theory Operator Algebras 20L05, 28A05, 46L10 We construct the first examples of genuine ergodic discrete measured groupoids that are not isomorphic to any equivalence relation or transformation groupoid. We use a construction due to B.H. Neumann of an uncountable family of pairwise non-isomorphic 2-generated groups for our result. |
| title | Measured groupoids beyond equivalence relations and group actions |
| topic | Group Theory Operator Algebras 20L05, 28A05, 46L10 |
| url | https://arxiv.org/abs/2410.15147 |