The Hao-Ng isomorphism theorem for reduced crossed products
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915278981431296 |
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| author | Dor-On, Adam Thompson, Ian |
| author_facet | Dor-On, Adam Thompson, Ian |
| contents | We prove the Hao-Ng isomorphism for reduced crossed products by locally compact Hausdorff groups. More precisely, for a non-degenerate $\mathrm{C}^*$-correspondence $X$ and a generalized gauge action $G \curvearrowright X$ by a locally compact Hausdorff group $G$, we prove the commutation ${\mathcal{O}}_{X\rtimes_rG}\cong {\mathcal{O}}_X\rtimes_rG$ of the reduced crossed product with the Cuntz-Pimsner C*-algebra construction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_00587 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Hao-Ng isomorphism theorem for reduced crossed products Dor-On, Adam Thompson, Ian Operator Algebras Functional Analysis 46K50, 47L55, 46L55, 46L05 We prove the Hao-Ng isomorphism for reduced crossed products by locally compact Hausdorff groups. More precisely, for a non-degenerate $\mathrm{C}^*$-correspondence $X$ and a generalized gauge action $G \curvearrowright X$ by a locally compact Hausdorff group $G$, we prove the commutation ${\mathcal{O}}_{X\rtimes_rG}\cong {\mathcal{O}}_X\rtimes_rG$ of the reduced crossed product with the Cuntz-Pimsner C*-algebra construction. |
| title | The Hao-Ng isomorphism theorem for reduced crossed products |
| topic | Operator Algebras Functional Analysis 46K50, 47L55, 46L55, 46L05 |
| url | https://arxiv.org/abs/2505.00587 |