A Duflo-Moore theorem for ergodic group actions on semifinite von Neumann algebras
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911723884118016 |
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| author | Enstad, Ulrik Wendt, Hannes |
| author_facet | Enstad, Ulrik Wendt, Hannes |
| contents | We prove a generalization of the orthogonality relations of Duflo and Moore for ergodic, trace-preserving group actions on von Neumann algebras that are integrable in a suitable sense. We also obtain convolution inequalities that generalize both Young's inequality for convolution on locally compact groups and inequalities for operator-operator convolutions in Werner's quantum harmonic analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_15575 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Duflo-Moore theorem for ergodic group actions on semifinite von Neumann algebras Enstad, Ulrik Wendt, Hannes Operator Algebras Functional Analysis We prove a generalization of the orthogonality relations of Duflo and Moore for ergodic, trace-preserving group actions on von Neumann algebras that are integrable in a suitable sense. We also obtain convolution inequalities that generalize both Young's inequality for convolution on locally compact groups and inequalities for operator-operator convolutions in Werner's quantum harmonic analysis. |
| title | A Duflo-Moore theorem for ergodic group actions on semifinite von Neumann algebras |
| topic | Operator Algebras Functional Analysis |
| url | https://arxiv.org/abs/2508.15575 |