Nondegenerate actions on Hilbert C*-modules
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916858472431616 |
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| author | Katsoulis, Elias Ramsey, Christopher |
| author_facet | Katsoulis, Elias Ramsey, Christopher |
| contents | Let X be a (right) Hilbert C*-module and let B be a C*-algebra acting on X from the left via adjointable operators. In this note we establish the equivalence of two notions of nondegeneracy for such an action of B on X. Furthermore, we explain how techniques from an earlier paper of Kim can be used to give a short proof of a recent result of Dessi, Kakariadis and Paraskevas. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_17104 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nondegenerate actions on Hilbert C*-modules Katsoulis, Elias Ramsey, Christopher Operator Algebras Let X be a (right) Hilbert C*-module and let B be a C*-algebra acting on X from the left via adjointable operators. In this note we establish the equivalence of two notions of nondegeneracy for such an action of B on X. Furthermore, we explain how techniques from an earlier paper of Kim can be used to give a short proof of a recent result of Dessi, Kakariadis and Paraskevas. |
| title | Nondegenerate actions on Hilbert C*-modules |
| topic | Operator Algebras |
| url | https://arxiv.org/abs/2507.17104 |