Residuality of Dynamical Morphisms for Amenable Group Actions
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866911924989460480 |
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| author | Huczek, Dawid Kopacz, Sebastian Serafin, Jacek |
| author_facet | Huczek, Dawid Kopacz, Sebastian Serafin, Jacek |
| contents | We extend the classical Baire category approach, used in proving the finite generator theorem of Krieger, the homomorphism theorem of Sinai and the isomorphism theorem of Ornstein, applying a similar reasoning to the case of actions of countably infinite amenable groups. In principle we follow the lines of the paper by Burton, Keane and Serafin (\cite{BKS}), showing that measures defining homomorphisms or isomorphisms form residual subsets in suitably chosen spaces of joinings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_13004 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Residuality of Dynamical Morphisms for Amenable Group Actions Huczek, Dawid Kopacz, Sebastian Serafin, Jacek Dynamical Systems Primary 37A15, 37A35, Secondary 28D15, 37B10, 37C85 We extend the classical Baire category approach, used in proving the finite generator theorem of Krieger, the homomorphism theorem of Sinai and the isomorphism theorem of Ornstein, applying a similar reasoning to the case of actions of countably infinite amenable groups. In principle we follow the lines of the paper by Burton, Keane and Serafin (\cite{BKS}), showing that measures defining homomorphisms or isomorphisms form residual subsets in suitably chosen spaces of joinings. |
| title | Residuality of Dynamical Morphisms for Amenable Group Actions |
| topic | Dynamical Systems Primary 37A15, 37A35, Secondary 28D15, 37B10, 37C85 |
| url | https://arxiv.org/abs/2406.13004 |