Measurable Imbeddings, Free Products, and Graph Products
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866910387098615808 |
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| author | Demir, Özkan |
| author_facet | Demir, Özkan |
| contents | We study Measurable Imbeddability between groups, which is an order-like generalization of Measure Equivalence that allows the imbedded group to have an infinite measure fundamental domain. We prove if $Λ_1$ measurably imbeds into $Γ_1$, and $Λ_2$ measurably imbeds into $Γ_2$ under an additional assumption that lets the corresponding fundamental domains to be arranged in a special way, then $Λ_1 * Λ_2$ measurably imbeds into $Γ_1 * Γ_2$. Building upon the techniques we used, we show that the analogous result holds for graph products of groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_16446 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Measurable Imbeddings, Free Products, and Graph Products Demir, Özkan Group Theory Dynamical Systems We study Measurable Imbeddability between groups, which is an order-like generalization of Measure Equivalence that allows the imbedded group to have an infinite measure fundamental domain. We prove if $Λ_1$ measurably imbeds into $Γ_1$, and $Λ_2$ measurably imbeds into $Γ_2$ under an additional assumption that lets the corresponding fundamental domains to be arranged in a special way, then $Λ_1 * Λ_2$ measurably imbeds into $Γ_1 * Γ_2$. Building upon the techniques we used, we show that the analogous result holds for graph products of groups. |
| title | Measurable Imbeddings, Free Products, and Graph Products |
| topic | Group Theory Dynamical Systems |
| url | https://arxiv.org/abs/2210.16446 |