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PreprintCC BY 4.0arXiv

C*-selflessness of groups of homeomorphisms

  • Ryoya Arimoto
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Abstract

We prove that C*-simple groups which admit a faithful extreme boundary are C*-selfless. More precisely, we establish complete selflessness of the canonical inclusion of the reduced group C*-algebra into the reduced crossed product. In particular, the Higman--Thompson groups and the Brin--Thompson groups are C*-selfless.

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Cite

BibTeXRIS
BibTeX
@misc{arimoto2026cselflessness,
  title = {{$\mathrmC^*$-selflessness of groups of homeomorphisms}},
  author = {Ryoya Arimoto},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.29399},
  eprint = {2609.29399},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.29399},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - C^*-selflessness of groups of homeomorphisms
AU  - Ryoya Arimoto
PY  - 2026
DA  - 2026/10/13
PB  - arXiv
DO  - 10.48550/arxiv.2609.29399
UR  - https://arxiv.org/abs/2609.29399
AB  - We prove that C^*-simple groups which admit a faithful extreme boundary are C^*-selfless. More precisely, we establish complete selflessness of the canonical inclusion of the reduced group C^*-algebra into the reduced crossed product. In particular, the Higman--Thompson groups and the Brin--Thompson groups are C^*-selfless.
ER  -