Representation theory of topological full groups of étale groupoids and paradoxicality
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2019
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| _version_ | 1866908994409332736 |
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| author | Alekseev, Vadim Finn-Sell, Martin |
| author_facet | Alekseev, Vadim Finn-Sell, Martin |
| contents | We provide a unified treatment of several results concerning full groups of ample groupoids and paradoxical decompositions attached to them. This includes a criterion for the full group of an ample groupoid being amenable as well as comparison of its orbit, Koopman and groupoid-left-regular representations. Besides that, we unify several recent results about paradoxicality in semigroups and groupoids, relating embeddings of Thompson's group V into full groups of ample étale groupoids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1912_10767 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Representation theory of topological full groups of étale groupoids and paradoxicality Alekseev, Vadim Finn-Sell, Martin Operator Algebras Metric Geometry Representation Theory 22A22, 46L55 We provide a unified treatment of several results concerning full groups of ample groupoids and paradoxical decompositions attached to them. This includes a criterion for the full group of an ample groupoid being amenable as well as comparison of its orbit, Koopman and groupoid-left-regular representations. Besides that, we unify several recent results about paradoxicality in semigroups and groupoids, relating embeddings of Thompson's group V into full groups of ample étale groupoids. |
| title | Representation theory of topological full groups of étale groupoids and paradoxicality |
| topic | Operator Algebras Metric Geometry Representation Theory 22A22, 46L55 |
| url | https://arxiv.org/abs/1912.10767 |