Boundary actions of outer automorphism groups of Thompson-like groups
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912768303562752 |
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| author | Bruce, Chris Li, Xin Takeishi, Takuya |
| author_facet | Bruce, Chris Li, Xin Takeishi, Takuya |
| contents | For every Cuntz--Krieger groupoid, we show that there is a topologically free boundary action of the outer automorphism group of its topological full group on the Hilbert cube. In particular, these outer automorphism groups, including the outer automorphism groups of all Higman--Thompson groups, are C*-simple. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_14324 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Boundary actions of outer automorphism groups of Thompson-like groups Bruce, Chris Li, Xin Takeishi, Takuya Group Theory Dynamical Systems Operator Algebras For every Cuntz--Krieger groupoid, we show that there is a topologically free boundary action of the outer automorphism group of its topological full group on the Hilbert cube. In particular, these outer automorphism groups, including the outer automorphism groups of all Higman--Thompson groups, are C*-simple. |
| title | Boundary actions of outer automorphism groups of Thompson-like groups |
| topic | Group Theory Dynamical Systems Operator Algebras |
| url | https://arxiv.org/abs/2512.14324 |