Selfless reduced amalgamated free products and HNN extensions
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918470516473856 |
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| author | Gao, David Elayavalli, Srivatsav Kunnawalkam Patchell, Gregory Teryoshin, Lizzy |
| author_facet | Gao, David Elayavalli, Srivatsav Kunnawalkam Patchell, Gregory Teryoshin, Lizzy |
| contents | We find a general family of selfless inclusions in reduced amalgamated free products of C*-algebras. Apart from generalizing prior works due to McClanahan, Ivanov and Omland, our work yields a few other applications. We present a short new approach to construct HNN extensions of C*-algebras and find several new examples of selflessness using this. This generalizes results of Ueda, Ivanov and de la Harpe-Preaux. As another application our work yields a short proof of selflessness for arbitrary graph products of C*-algebras over graphs of more than 2 vertices and diameter greater than 3. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_06982 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Selfless reduced amalgamated free products and HNN extensions Gao, David Elayavalli, Srivatsav Kunnawalkam Patchell, Gregory Teryoshin, Lizzy Operator Algebras Group Theory Logic We find a general family of selfless inclusions in reduced amalgamated free products of C*-algebras. Apart from generalizing prior works due to McClanahan, Ivanov and Omland, our work yields a few other applications. We present a short new approach to construct HNN extensions of C*-algebras and find several new examples of selflessness using this. This generalizes results of Ueda, Ivanov and de la Harpe-Preaux. As another application our work yields a short proof of selflessness for arbitrary graph products of C*-algebras over graphs of more than 2 vertices and diameter greater than 3. |
| title | Selfless reduced amalgamated free products and HNN extensions |
| topic | Operator Algebras Group Theory Logic |
| url | https://arxiv.org/abs/2604.06982 |