Uniformly bounded representations of discrete measured groupoid into finite Von Neumann algebras
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908731729510400 |
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| author | Savini, Alessio |
| author_facet | Savini, Alessio |
| contents | Let $(\mathcal{G},ν)$ be a $t$-discrete ergodic groupoid. Consider a finite Von Neumann algebra $\mathcal{M}$ with separable predual. We prove that every uniformly bounded measurable representation $ρ:\mathcal{G} \rightarrow \mathrm{GL}(\mathcal{M})$ into the invertible elements of $\mathcal{M}$ is similar to a unitary representation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_21442 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Uniformly bounded representations of discrete measured groupoid into finite Von Neumann algebras Savini, Alessio Operator Algebras Let $(\mathcal{G},ν)$ be a $t$-discrete ergodic groupoid. Consider a finite Von Neumann algebra $\mathcal{M}$ with separable predual. We prove that every uniformly bounded measurable representation $ρ:\mathcal{G} \rightarrow \mathrm{GL}(\mathcal{M})$ into the invertible elements of $\mathcal{M}$ is similar to a unitary representation. |
| title | Uniformly bounded representations of discrete measured groupoid into finite Von Neumann algebras |
| topic | Operator Algebras |
| url | https://arxiv.org/abs/2512.21442 |