Selfless Inclusions of C*-Algebras
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918229496037376 |
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| author | Hayes, Ben Elayavalli, Srivatsav Kunnawalkam Patchell, Gregory Robert, Leonel |
| author_facet | Hayes, Ben Elayavalli, Srivatsav Kunnawalkam Patchell, Gregory Robert, Leonel |
| contents | We introduce and study a natural notion of selflessness for inclusions of C*-probability spaces, which in particular implies that all intermediate C*-algebras are selfless in the sense of Robert. We identify natural sources of selfless inclusions in the realms of Z-stable and free product C*-algebras. As an application of this, we prove selflessness for a new family of C*-probability spaces outside the regime of free products and group C*-algebras. These include the reduced free unitary compact quantum groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_13398 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Selfless Inclusions of C*-Algebras Hayes, Ben Elayavalli, Srivatsav Kunnawalkam Patchell, Gregory Robert, Leonel Operator Algebras Quantum Algebra We introduce and study a natural notion of selflessness for inclusions of C*-probability spaces, which in particular implies that all intermediate C*-algebras are selfless in the sense of Robert. We identify natural sources of selfless inclusions in the realms of Z-stable and free product C*-algebras. As an application of this, we prove selflessness for a new family of C*-probability spaces outside the regime of free products and group C*-algebras. These include the reduced free unitary compact quantum groups. |
| title | Selfless Inclusions of C*-Algebras |
| topic | Operator Algebras Quantum Algebra |
| url | https://arxiv.org/abs/2510.13398 |