Continuity of measurable cocycles
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915726943584256 |
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| author | Rosendal, Christian |
| author_facet | Rosendal, Christian |
| contents | Suppose $G\curvearrowright X$ is a Polish group action, $H$ is a Polish group and $G\times X\oversetψ\longrightarrow H$ is a cocycle that is continuous in the second variable. If $ψ$ is either Baire measurable or is $λ\times μ$-measurable with respect to a Haar measure $λ$ on $G$ and a fully supported $σ$-finite Borel measure $μ$ on $X$, then $ψ$ is jointly continuous. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_01581 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Continuity of measurable cocycles Rosendal, Christian Group Theory Logic 22F05, 03E15 Suppose $G\curvearrowright X$ is a Polish group action, $H$ is a Polish group and $G\times X\oversetψ\longrightarrow H$ is a cocycle that is continuous in the second variable. If $ψ$ is either Baire measurable or is $λ\times μ$-measurable with respect to a Haar measure $λ$ on $G$ and a fully supported $σ$-finite Borel measure $μ$ on $X$, then $ψ$ is jointly continuous. |
| title | Continuity of measurable cocycles |
| topic | Group Theory Logic 22F05, 03E15 |
| url | https://arxiv.org/abs/2502.01581 |